Question

On Monday, Torrance practiced the violin for 4/10 of an hour. On Tuesday, he practiced for 1 6/8 of an hour. How much time did he practice in all?

Answer 1

Answer: $2\frac{3}{20}$

Step-by-step explanation:

First, convert mixed numbers into improper fractions and simplify all fractions

$\frac{4}{10}$ ÷ $\frac{2}{2}$ = $\frac{2}{5}$

$1\frac{6}{8}$ = $\frac{8(1) + 6}{8}$ = $\frac{14}{8}$ ÷ $\frac{2}{2}$ = $\frac{7}{4}$

Next, find their sum.  Remember to find the LCD and convert the fractions so they have like denominators.

Monday + Tuesday = Total

$\frac{2}{5}$ + $\frac{7}{4}$ = Total      the LCD of 5 and 4 is 20

$(\frac{4}{4})\frac{2}{5}$ + $(\frac{5}{5})\frac{7}{4}$ = Total

$\frac{8}{20}$ + $\frac{35}{20}$ = Total

$\frac{43}{20}$ = Total

Then, convert the improper fraction into a mixed number

$\frac{43}{20}$ = $2\frac{3}{20}$