Question

During a blizzard it snowed 5 and 8/10in after a week the sun had melted 3 and 1/2 inches of snow how many inches of snow is left

Answer 1

$2\frac{3}{10}$ inches of snow is left

Solution:

Given that,

From given,

$Original\ amount\ of\ snow = 5\frac{8}{10}\ inches = \frac{10 \times 5 + 8}{10} = \frac{58}{10}\ inches$

$Sun\ melted = 3\frac{1}{2}\ inches = \frac{2 \times 3 + 1}{2} = \frac{7}{2}\ inches$

how many inches of snow is left

Snow left = original amount of snow - sun melted

$Snow\ left = \frac{58}{10} - \frac{7}{2}\\\\Snow\ left = \frac{58}{10} - \frac{7 \times 5}{2 \times 5}\\\\Snow\ left = \frac{58}{10} - \frac{35}{10}\\\\Snow\ left = \frac{58 - 35}{10}\\\\Snow\ left = \frac{23}{10}\\\\\In\ mixed\ fractions\\\\Snow\ left = 2\frac{3}{10}$

Thus $2\frac{3}{10}$ inches of snow is left