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Let’s check out your problem:
Which
fraction
is equivalent to
1
4
\frac{1}{4}
4
1
?
\newline
Choices:
\newline
(A)
3
9
\frac{3}{9}
9
3
\newline
(B)
1
5
\frac{1}{5}
5
1
\newline
(C)
2
8
\frac{2}{8}
8
2
\newline
(D)
2
7
\frac{2}{7}
7
2
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Home
Math Problems
Grade 7
Compare and order fractions
Full solution
Q.
Which fraction is equivalent to
1
4
\frac{1}{4}
4
1
?
\newline
Choices:
\newline
(A)
3
9
\frac{3}{9}
9
3
\newline
(B)
1
5
\frac{1}{5}
5
1
\newline
(C)
2
8
\frac{2}{8}
8
2
\newline
(D)
2
7
\frac{2}{7}
7
2
Simplify (A)
3
9
\frac{3}{9}
9
3
:
Step
1
1
1
: Simplify each choice to see if it equals
1
4
\frac{1}{4}
4
1
.
\newline
- Simplify (A)
3
9
\frac{3}{9}
9
3
:
\newline
3
÷
3
=
1
3 \div 3 = 1
3
÷
3
=
1
and
9
÷
3
=
3
9 \div 3 = 3
9
÷
3
=
3
, so
3
9
\frac{3}{9}
9
3
simplifies to
1
3
\frac{1}{3}
3
1
.
\newline
Simplify
(
B
)
1
5
:
(B) \frac{1}{5}:
(
B
)
5
1
:
Step
2
2
2
: Simplify
(
B
)
1
5
:
(B) \frac{1}{5}:
(
B
)
5
1
:
\newline
1
5
\frac{1}{5}
5
1
is already in its simplest form.
\newline
Simplify (C)
2
8
\frac{2}{8}
8
2
:
Step
3
3
3
: Simplify (C)
2
8
\frac{2}{8}
8
2
:
2
÷
2
=
1
2 \div 2 = 1
2
÷
2
=
1
and
8
÷
2
=
4
8 \div 2 = 4
8
÷
2
=
4
, so
2
8
\frac{2}{8}
8
2
simplifies to
1
4
\frac{1}{4}
4
1
.
Simplify
(
D
)
2
7
:
(D) \frac{2}{7}:
(
D
)
7
2
:
Step
4
4
4
: Simplify
(
D
)
2
7
:
(D) \frac{2}{7}:
(
D
)
7
2
:
\newline
2
7
\frac{2}{7}
7
2
is already in its simplest form.
\newline
More problems from Compare and order fractions
Question
Write
2
6
\frac{2}{6}
6
2
in lowest terms.
\newline
‾
\underline{\hspace{1em}}
/
‾
\underline{\hspace{1em}}
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\newline
Choices:
\newline
(A)
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\frac{8}{11}
11
8
\newline
(B)
7
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\frac{7}{11}
11
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.
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Convert the following
\newline
a.
\newline
165.07812
5
(
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165.078125_{(10)}
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(
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\newline
b.
\newline
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\frac{14}{5}
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\frac{24}{5}
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8
1
6
8 \frac{1}{6}
8
6
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\newline
Answer:
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\frac{8}{5}
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