Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

b) $4\\frac{1}{2} \\div \\frac{1}{4}$

Question

b) $4\frac{1}{2} \div \frac{1}{4}$

Explanation:

Step1: Convert mixed number to improper fraction

$4\frac{1}{2} = \frac{4\times2 + 1}{2} = \frac{9}{2}$

Step2: Rewrite division as multiplication by reciprocal

$\frac{9}{2} \div \frac{1}{4} = \frac{9}{2} \times \frac{4}{1}$

Step3: Multiply numerators and denominators

$\frac{9\times4}{2\times1} = \frac{36}{2}$

Step4: Simplify the fraction

$\frac{36}{2} = 18$

Answer:

18