Question

Convert the given fraction into like fraction 3 upon 4 and 5 upon 8

Answer 1

Step-by-step explanation:

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Answer 2

Like fractions of  $\frac{3}{4}$ and $\frac{5}{8}$ are $\frac{6}{8}$ and $\frac{5}{8}$.

Concept used:

Like fractions: Fractions with the same denominators.

Conversion of unlike fractions into like fractions:

Step1: Find the LCM of denominators of the fractions.

Step 2:Divide the LCM by the respective denominators.

Step 3: Multiply the numerator and denominator of each fraction by the corresponding quotient obtained in step 2.

Solution:

Step1: Find the LCM of denominators 4 and 8 of the fractions and change the fraction into like fractions:

Prime factors of 4 = 2 × 2

Prime factors of 8 = 2 × 2 × 2

LCM of 4 and 8 = 2 × 2 × 2

LCM of 4 and 8 = 8

Step 2: Now divide the LCM 8 by the denominators 4 and 8:

$\frac{8}{4} = 2\\\\\frac{8}{8} = 1$

Step 3: Multiply the numerator and denominator of fractions $\frac{3}{4}$ and $\frac{5}{8}$ by 2 and 1 :

$\frac{3}{4} =\frac{3\ \times \ 2}{4\ \times \ 2} \\\\\frac{3}{4} =\frac{6}{8}$

And

$\frac{5}{8} =\frac{5\ \times \ 1}{8\ \times \ 1} =\frac{5}{8}$

Hence, the like fractions are $\frac{6}{8}$ and $\frac{5}{8}$.

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