Question

mike has 5 2/3 pounds of sugar. he used 2 4/5 pounds of sugar to make cakes how many pounds of sugar dose he left

Answer 1

Answer:

$2\frac{13}{15}$

Step-by-step explanation:

Given the following question:

$5\frac{2}{3} -2\frac{4}{5}$

In order to find the answer to the question we have to subtract the initial amount of sugar by the amount of sugar Mike has left over after baking the cakes.

$5\frac{2}{3}-2\frac{4}{5}$

To subtract fractions, we have to convert the mixed numbers into improper fractions and then find the least common denominator (LCD) to solve.

$5\frac{2}{3} =3\times5=15+2=\frac{17}{3}$
$2\frac{4}{5} =5\times2=10+4=\frac{14}{5}$
$\frac{17}{3} -\frac{14}{5}$

Find the least common multiple:

$LCD=15$
$17\times5=85$
$3\times5=15$
$14\times3=42$
$5\times3=15$

$\frac{85}{15} -\frac{42}{15}$

Subtract the numerators:

$85-42=43=\frac{43}{15}$

Convert into mixed number:

$\frac{43}{15} =43\div15=2\frac{13}{15}$
$=2\frac{13}{15}$

Hope this helps.