Question

math 7 fraction review 2.4.26 worksheet

1. simplify the complex fraction below.

\\(\frac{\frac{1}{2}}{\frac{1}{10}}\\)

1. simplify the complex fraction below.

\\(\frac{\frac{1}{4}}{\frac{1}{2}}\\)

1. write the mixed number below as an imp

Explanation:

Problem 1: Simplify the complex fraction $\boldsymbol{\frac{\frac{1}{2}}{\frac{1}{10}}}$

Step1: Recall division of fractions

To simplify a complex fraction, we divide the numerator by the denominator. So, $\frac{\frac{1}{2}}{\frac{1}{10}}=\frac{1}{2}\div\frac{1}{10}$.

Step2: Multiply by reciprocal

Dividing by a fraction is the same as multiplying by its reciprocal. So, $\frac{1}{2}\div\frac{1}{10}=\frac{1}{2}\times\frac{10}{1}$.

Step3: Multiply numerators and denominators

Multiply the numerators: $1\times10 = 10$. Multiply the denominators: $2\times1=2$. So we have $\frac{10}{2}$.

Step4: Simplify the fraction

$\frac{10}{2}=5$.

Step1: Recall division of fractions

To simplify the complex fraction, we divide the numerator by the denominator. So, $\frac{\frac{1}{4}}{\frac{1}{2}}=\frac{1}{4}\div\frac{1}{2}$.

Step2: Multiply by reciprocal

Dividing by a fraction is the same as multiplying by its reciprocal. So, $\frac{1}{4}\div\frac{1}{2}=\frac{1}{4}\times\frac{2}{1}$.

Step3: Multiply numerators and denominators

Multiply the numerators: $1\times2 = 2$. Multiply the denominators: $4\times1 = 4$. So we have $\frac{2}{4}$.

Step4: Simplify the fraction

Simplify $\frac{2}{4}$ by dividing numerator and denominator by their greatest common divisor, which is 2. So, $\frac{2\div2}{4\div2}=\frac{1}{2}$.

Answer:

5

Problem 3: Simplify the complex fraction $\boldsymbol{\frac{\frac{1}{4}}{\frac{1}{2}}}$