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

Full solution

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 $\frac{3}{5}$ )