What is (3/14)/(7/10) ?

The solution to (3/14)/(7/10) is 15/49

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Write the Fraction in Simplest Form (3/14)÷(7/10)

(3/14) / (7/10)

\frac{15}{49}

Solution steps

(3/14) / (7/10)

Follow the PEMDAS order of operations

Calculate within parentheses

(3/14) : \frac{3}{14}

3/14

3/14 = \frac{3}{14}

= \frac{3}{14}

= \frac{3}{14} / (7/10)

Calculate within parentheses

(7/10) : \frac{7}{10}

7/10

7/10 = \frac{7}{10}

= \frac{7}{10}

= \frac{3}{14} / \frac{7}{10}

Multiply and divide (left to right)

\frac{3}{14} / \frac{7}{10} : \frac{15}{49}

\frac{3}{14} / \frac{7}{10}

Apply the fraction rule:

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

= \frac{3}{14} \cdot \frac{10}{7}

Cross-cancel common factor:

2

10, 14

Greatest Common Divisor (GCD)

Prime factorization of

10 : 2 \cdot 5

10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 5

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

10, 14

are

= 2

= \frac{3}{7} \cdot \frac{5}{7}

Multiply fractions:

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

= \frac{3 \cdot 5}{7 \cdot 7}

Multiply the numbers:

3 \cdot 5 = 15

= \frac{15}{7 \cdot 7}

Multiply the numbers:

7 \cdot 7 = 49

= \frac{15}{49}

= \frac{15}{49}

1 - (27 - 39) /27

\frac{5}{2}

2.34

\frac{66}{2}

6 \frac{1}{5}