Question

Ryan spends 10 1/2 hours at work each day. He has 3/4 hour lunch and receives two 1/4 breaks. How much time does Ryan spend working? Remember you can write a equivalent fraction for 10 1/2.

Answer 1

Answer:

$9\frac{1}{4}\ hours$

Step-by-step explanation:

Let

h-----> the time that Ryan spend working

Remember that

$10\frac{1}{2}\ h=\frac{10*2+1}{2}=\frac{21}{2}\ h$

we know that

The equation that represent the situation is

$\frac{21}{2}=h+\frac{3}{4}+2(\frac{1}{4})$

$\frac{21}{2}=h+\frac{3}{4}+\frac{2}{4}$

$\frac{21}{2}=h+\frac{5}{4}$

$h=\frac{21}{2}-\frac{5}{4}$

$h=\frac{37}{4}=9.25\ hours$

Convert to a mixed number

$h=9\frac{1}{4}\ hours$