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Math Problems
Grade 6
Add and subtract fractions with like denominators
One evening, a restaurant served a total of
1
5
\frac{1}{5}
5
1
of a loaf of wheat bread and
3
5
\frac{3}{5}
5
3
of a loaf of white bread. How many loaves were served in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
loaves
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For his famous seafood gumbo, Herman uses jumbo shrimp and blue crab. His recipe calls for
7
10
\frac{7}{10}
10
7
of a pound of shrimp and
3
10
\frac{3}{10}
10
3
of a pound of crab. How many total pounds of seafood does Herman use in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
pounds
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In Carla's apartment complex,
1
3
\frac{1}{3}
3
1
of the apartments are one-bedroom apartments and
1
3
\frac{1}{3}
3
1
are two-bedroom apartments. What fraction of the apartments are either one- or two-bedroom apartments?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
\_\_
__
of the apartments
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Dominic ran
11
12
\frac{11}{12}
12
11
of a mile and walked
1
12
\frac{1}{12}
12
1
of a mile. How much farther did Dominic run than walk?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
miles
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Cassie ran
3
5
\frac{3}{5}
5
3
of a mile on Saturday and
4
5
\frac{4}{5}
5
4
of a mile on Sunday. How many miles did Cassie run in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
miles
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Of the flags in Dale's Flag Shop,
2
5
\frac{2}{5}
5
2
are orange and another
1
5
\frac{1}{5}
5
1
are blue. What fraction of the flags are either orange or blue?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
of the flags
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A marine biologist measured one fish that was
5
6
\frac{5}{6}
6
5
of a foot long and a second fish that was
1
6
\frac{1}{6}
6
1
of a foot long. How much longer was the first fish?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
feet
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Shane is trying to fit two boxes into the trunk of his car. One box is
3
4
\frac{3}{4}
4
3
of a foot tall and the other is
1
4
\frac{1}{4}
4
1
of a foot tall. Stacked on top of each other, what is the combined height of the two boxes?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ feet
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Last year, Lauren grew
4
5
\frac{4}{5}
5
4
of an inch and her brother grew
3
5
\frac{3}{5}
5
3
of an inch. How much more did Lauren grow than her brother?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
inches
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A tailor cut
7
8
\frac{7}{8}
8
7
of an inch off a skirt and
3
8
\frac{3}{8}
8
3
of an inch off a pair of pants. How much more did the tailor cut off the skirt than the pants?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ inches
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Martina drew a green line that was
9
10
\frac{9}{10}
10
9
of an inch long. Then she drew a purple line that was
7
10
\frac{7}{10}
10
7
of an inch long. How much longer was the green line than the purple line?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ inches
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Jacob made a fruit salad with
1
8
\frac{1}{8}
8
1
of a pound of melon and
7
8
\frac{7}{8}
8
7
of a pound of berries. How many pounds of fruit did Jacob use in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
pounds
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While taking inventory at her pastry shop, Kaylee realizes that she had
3
10
\frac{3}{10}
10
3
of a box of baking powder yesterday, but the supply is now down to
1
10
\frac{1}{10}
10
1
of a box. How much more baking powder did Kaylee have yesterday?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
boxes
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Linda bought
9
10
\frac{9}{10}
10
9
of a pound of green grapes and
1
10
\frac{1}{10}
10
1
of a pound of red grapes. How much more did the green grapes weigh than the red grapes?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pounds
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Of the shirts in Gabe's closet,
1
3
\frac{1}{3}
3
1
are indigo and another
1
3
\frac{1}{3}
3
1
are blue. What fraction of the shirts are either indigo or blue?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
of the shirts
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While making pastries, a bakery used
1
6
\frac{1}{6}
6
1
of a bag of wheat flour and
5
6
\frac{5}{6}
6
5
of a bag of white flour. How many bags of flour did the bakery use in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
bags
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At the local nursery,
5
12
\frac{5}{12}
12
5
of the plants for sale are flowers and another
1
12
\frac{1}{12}
12
1
of them are bushes. What fraction of the plants for sale are either flowers or bushes?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
of the plants
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Yesterday, Aiden walked
5
12
\frac{5}{12}
12
5
of a mile from the swimming pool to the ice cream stand and
7
12
\frac{7}{12}
12
7
of a mile from the ice cream stand back home. How many miles did Aiden walk in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ miles
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Marshall bought
5
6
\frac{5}{6}
6
5
of a pound of green grapes and
1
6
\frac{1}{6}
6
1
of a pound of red grapes. How much more did the green grapes weigh than the red grapes?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pounds
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At lunchtime, a cafeteria served a total of
2
3
\frac{2}{3}
3
2
of a pot of chicken soup and
2
3
\frac{2}{3}
3
2
of a pot of onion soup. How many pots of soup were served in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
pots
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At the Richmond Ski Resort, it snowed
7
8
\frac{7}{8}
8
7
of a foot yesterday and
3
8
\frac{3}{8}
8
3
of a foot today. How much more did it snow yesterday than today?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ feet
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While hiking, Kiara ate
7
10
\frac{7}{10}
10
7
of a cup of nuts. Jill ate
1
10
\frac{1}{10}
10
1
of a cup of nuts. How much more did Kiara eat than Jill?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
cups
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Ron made cookies. He used
3
4
\frac{3}{4}
4
3
of a cup of flour and
1
4
\frac{1}{4}
4
1
of a cup of sugar. How much more flour than sugar did Ron use?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ cups
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5
×
2
+
12
+
6
5 \times 2+12+6
5
×
2
+
12
+
6
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50
+
160
+
2365
+
36
50+160+2365+36
50
+
160
+
2365
+
36
=
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5
+
5
5+5
5
+
5
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2
x
+
2
=
4
2x+2=4
2
x
+
2
=
4
. Find `x`
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