George studied 3/4 hour on Monday and 7/8 hour on Tuesday. How long did he study altogether on both days?

Dec 15, 2016

$\frac{13}{8}$ hours or $1 \frac{5}{8}$ hours.

Explanation:

To determine how much total time George studied must solve

$\frac{3}{4} + \frac{7}{8}$

To do this we must multiply the first fraction by the appropriate form of $1$ to get these two fractions over a common denominator, in this case $8$:

$\left(\frac{2}{2} \times \frac{3}{4}\right) + \frac{7}{8} \to$

$\left(\frac{2 \times 3}{2 \times 4}\right) + \frac{7}{8} \to$

$\frac{6}{8} + \frac{7}{8}$

We can now add these two fractions because they are over a common denominator:

$\frac{6 + 7}{8}$

$\frac{13}{8}$

or

$\frac{8 + 5}{8} \to$

$\frac{8}{8} + \frac{5}{8}$

$1 \frac{+}{58}$

$1 \frac{5}{8}$