Question

equivalent fractions
write two fractions equivalent to the given fraction.

1. \\(\frac{3}{4}\\) =
2. \\(\frac{7}{8}\\)
3. \\(\frac{1}{2}\\)
4. \\(\frac{8}{9}\\)

Explanation:

Problem 4: $\boldsymbol{\frac{3}{4}}$

Step1: Multiply numerator and denominator by 2

To find an equivalent fraction, we multiply the numerator and denominator of $\frac{3}{4}$ by 2. So, $\frac{3\times2}{4\times2} = \frac{6}{8}$.

Step2: Multiply numerator and denominator by 3

Multiply the numerator and denominator of $\frac{3}{4}$ by 3. Then, $\frac{3\times3}{4\times3} = \frac{9}{12}$.

Step1: Multiply numerator and denominator by 2

Multiply $\frac{7}{8}$'s numerator and denominator by 2: $\frac{7\times2}{8\times2} = \frac{14}{16}$.

Step2: Multiply numerator and denominator by 3

Multiply $\frac{7}{8}$'s numerator and denominator by 3: $\frac{7\times3}{8\times3} = \frac{21}{24}$.

Step1: Multiply numerator and denominator by 2

Multiply $\frac{1}{2}$ by 2 in numerator and denominator: $\frac{1\times2}{2\times2} = \frac{2}{4}$.

Step2: Multiply numerator and denominator by 3

Multiply $\frac{1}{2}$ by 3 in numerator and denominator: $\frac{1\times3}{2\times3} = \frac{3}{6}$.

Answer:

$\frac{6}{8}$, $\frac{9}{12}$ (answers may vary, other valid equivalents include $\frac{12}{16}$, etc.)

Problem 5: $\boldsymbol{\frac{7}{8}}$