Question

divide.
5\frac{1}{4} div 4\frac{2}{3}
?
answer as a mixed number in simplest form. enter the whole number first.

Explanation:

Step1: Convert mixed - numbers to improper fractions

$5\frac{1}{4}=\frac{5\times4 + 1}{4}=\frac{21}{4}$ and $4\frac{2}{3}=\frac{4\times3+2}{3}=\frac{14}{3}$

Step2: Change division to multiplication by reciprocal

$\frac{21}{4}\div\frac{14}{3}=\frac{21}{4}\times\frac{3}{14}$

Step3: Simplify the fractions before multiplying

$\frac{21}{4}\times\frac{3}{14}=\frac{3}{4}\times\frac{3}{2}$ (divide 21 and 14 by 7)

Step4: Multiply the numerators and denominators

$\frac{3\times3}{4\times2}=\frac{9}{8}$

Step5: Convert improper fraction to mixed - number

$\frac{9}{8}=1\frac{1}{8}$

Answer:

$1\frac{1}{8}$