Question

math 7 fraction review 2.4.26 worksheet 1. simplify the complex fraction below. \\(\frac{\frac{1}{2}}{\frac{2}{10}}\\)

Explanation:

Step1: Recall complex fraction rule

A complex fraction $\frac{\frac{a}{b}}{\frac{c}{d}}$ simplifies to $\frac{a}{b} \div \frac{c}{d}=\frac{a}{b} \times \frac{d}{c}$. Here, $a = 1$, $b = 2$, $c = 2$, $d = 10$.

Step2: Apply division of fractions

$\frac{\frac{1}{2}}{\frac{2}{10}}=\frac{1}{2}\div\frac{2}{10}=\frac{1}{2}\times\frac{10}{2}$

Step3: Multiply numerators and denominators

$\frac{1\times10}{2\times2}=\frac{10}{4}$

Step4: Simplify the fraction

$\frac{10}{4}=\frac{5}{2}$ (dividing numerator and denominator by 2)

Answer:

$\frac{5}{2}$