Question

solve the problem. show your work.

1. raymundo walks $\frac{9}{10}$ mile. mica walks $\frac{3}{5}$ mile. how much farther does raymundo walk than mica? __________ mile

1. yesterday, deborah worked for $\frac{5}{6}$ hour on her homework. today she worked $\frac{3}{4}$ hour on her homework. how much longer did deborah spend on her homework yesterday than today?

__________ hour

1. a piece of string is $\frac{9}{10}$ foot long. jody cuts the string so that one piece is $\frac{1}{2}$ foot long. how long is the other piece of string?

__________ foot

1. the waterfall is $\frac{3}{4}$ kilometer from the nature center. gary has hiked $\frac{2}{5}$ kilometer so far on the way to the waterfall. how much farther does gary have to hike to get to the waterfall?

__________ kilometer

practice subtracting fractions with unlike denominators with your child. look for situations in which two fractions have to be subtracted, or simply write a subtraction equation at the top of a sheet of paper. have your child rewrite the equation using a common denominator, explain the steps to you then find the difference. do other examples as time permits.
student practice book 98

Explanation:

Step1: Find common denominator

For problem 7: $\frac{9}{10} - \frac{3}{5} = \frac{9}{10} - \frac{6}{10}$

Step2: Subtract numerators

$\frac{9-6}{10} = \frac{3}{10}$

Step1: Find common denominator

For problem 8: $\frac{5}{6} - \frac{3}{4} = \frac{10}{12} - \frac{9}{12}$

Step2: Subtract numerators

$\frac{10-9}{12} = \frac{1}{12}$

Step1: Find common denominator

For problem 9: $\frac{9}{10} - \frac{1}{2} = \frac{9}{10} - \frac{5}{10}$

Step2: Subtract numerators

$\frac{9-5}{10} = \frac{4}{10} = \frac{2}{5}$

Step1: Find common denominator

For problem 10: $\frac{3}{4} - \frac{2}{5} = \frac{15}{20} - \frac{8}{20}$

Step2: Subtract numerators

$\frac{15-8}{20} = \frac{7}{20}$

Answer:

1. $\boldsymbol{\frac{3}{10}}$ mile
2. $\boldsymbol{\frac{1}{12}}$ hour
3. $\boldsymbol{\frac{2}{5}}$ foot
4. $\boldsymbol{\frac{7}{20}}$ kilometer