Rebecca and her sister went together to get haircuts. Rebecca got 4 9/10 inches cut off and her sister got 3 3/10 inches cut off. Compared to her sister, how much more hair did Rebecca get taken off? Write your answer as a fraction or as a whole or mixed number. _____ inches

Identify hair cut amounts: Step 1: Identify the amount of hair cut off for both Rebecca and her sister. Rebecca's hair cut: 4 9/10 inches Her sister's hair cut: 3 3/10 inchesConvert to improper fractions: Step 2: Convert the mixed numbers to improper fractions to simplify the subtraction. 4 9/10 = (4×10 + 9)/10 = 49/10 3 3/10 = (3×10 + 3)/10 = 33/10Subtract amounts: Step 3: Subtract the amount of hair cut off her sister from the amount Rebecca got cut off. 49/10 - 33/10 = (49 - 33)/10 = 16/10Simplify fraction: Step 4: Simplify the fraction 16/10 to a mixed number. 16/10 = 1 6/10 = 1 3/5 (since 6/10 simplifies to 3/5)

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Rebecca and her sister went together to get haircuts. Rebecca got $4\frac{9}{10}$ inches cut off and her sister got $3\frac{3}{10}$ inches cut off. Compared to her sister, how much more hair did Rebecca get taken off? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_$ inches

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Grade 6

Add and subtract mixed numbers: word problems

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Q. Rebecca and her sister went together to get haircuts. Rebecca got

4\frac{9}{10}

inches cut off and her sister got

3\frac{3}{10}

inches cut off. Compared to her sister, how much more hair did Rebecca get taken off?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_

inches

Identify hair cut amounts: Step $1$ : Identify the amount of hair cut off for both Rebecca and her sister. $\newline$ Rebecca's hair cut: $4\frac{9}{10}$ inches $\newline$ Her sister's hair cut: $3\frac{3}{10}$ inches
Convert to improper fractions: Step $2$ : Convert the mixed numbers to improper fractions to simplify the subtraction. $\newline$ $4 \frac{9}{10} = (4\times10 + 9)/10 = \frac{49}{10}$ $\newline$ $3 \frac{3}{10} = (3\times10 + 3)/10 = \frac{33}{10}$
Subtract amounts: Step $3$ : Subtract the amount of hair cut off her sister from the amount Rebecca got cut off. $\frac{49}{10} - \frac{33}{10} = \frac{(49 - 33)}{10} = \frac{16}{10}$
Simplify fraction: Step $4$ : Simplify the fraction $\frac{16}{10}$ to a mixed number. $\newline$ $\frac{16}{10} = 1 \frac{6}{10} = 1 \frac{3}{5}$ (since $\frac{6}{10}$ simplifies to $\frac{3}{5}$ )