What is (5/14)/(7/8) ?

The solution to (5/14)/(7/8) is 20/49

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Write the Fraction in Simplest Form (5/14)÷(7/8)

(5/14) / (7/8)

\frac{20}{49}

Solution steps

(5/14) / (7/8)

Follow the PEMDAS order of operations

Calculate within parentheses

(5/14) : \frac{5}{14}

5/14

5/14 = \frac{5}{14}

= \frac{5}{14}

= \frac{5}{14} / (7/8)

Calculate within parentheses

(7/8) : \frac{7}{8}

7/8

7/8 = \frac{7}{8}

= \frac{7}{8}

= \frac{5}{14} / \frac{7}{8}

Multiply and divide (left to right)

\frac{5}{14} / \frac{7}{8} : \frac{20}{49}

\frac{5}{14} / \frac{7}{8}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{5}{14} \cdot \frac{8}{7}

Cross-cancel common factor:

2

8, 14

Greatest Common Divisor (GCD)

Prime factorization of

8 : 2 \cdot 2 \cdot 2

8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2

Prime factorization of

14 : 2 \cdot 7

14

14

divides by

214 = 7 \cdot 2

= 2 \cdot 7

2, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 7

The prime factors common to

8, 14

are

= 2

= \frac{5}{7} \cdot \frac{4}{7}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{5 \cdot 4}{7 \cdot 7}

Multiply the numbers:

5 \cdot 4 = 20

= \frac{20}{7 \cdot 7}

Multiply the numbers:

7 \cdot 7 = 49

= \frac{20}{49}

= \frac{20}{49}

t o a p erce n t a g e 1/30

- 2.66

\frac{88}{3}

180, 315

48, 72, 96