What is (7/15)/(3/10) ?

The solution to (7/15)/(3/10) is 1 5/9

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Popular >

Write the Fraction in Simplest Form (7/15)÷(3/10)

Solution

(7/15) / (3/10)

Solution

1 \frac{5}{9}

Solution steps

(7/15) / (3/10)

Follow the PEMDAS order of operations

Calculate within parentheses

(7/15) : \frac{7}{15}

7/15

7/15 = \frac{7}{15}

= \frac{7}{15}

= \frac{7}{15} / (3/10)

Calculate within parentheses

(3/10) : \frac{3}{10}

3/10

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

= \frac{3}{10}

= \frac{7}{15} / \frac{3}{10}

Multiply and divide (left to right)

\frac{7}{15} / \frac{3}{10} : \frac{14}{9}

\frac{7}{15} / \frac{3}{10}

Apply the fraction rule:

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

= \frac{7}{15} \cdot \frac{10}{3}

Cross-cancel common factor:

5

10, 15

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

15 : 3 \cdot 5

15

15

divides by

315 = 5 \cdot 3

= 3 \cdot 5

3, 5

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 5

The prime factors common to

10, 15

are

= 5

= \frac{7}{3} \cdot \frac{2}{3}

Multiply fractions:

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

= \frac{7 \cdot 2}{3 \cdot 3}

Multiply the numbers:

7 \cdot 2 = 14

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

Multiply the numbers:

3 \cdot 3 = 9

= \frac{14}{9}

= \frac{14}{9}

Convert improper fractions to mixed numbers:

\frac{14}{9} = 1 \frac{5}{9}

\frac{14}{9} = 1

Remainder

5

\frac{14}{9}

Write the problem in long division format

9 \overline{∣ 14}

Divide

14

9

to get

1

Divide

14

9

to get

1

1 9 \overline{∣ 14}

Multiply the quotient digit

(1)

by the divisor

9

1 9 \overline{∣ 14} \underline{9}

Subtract

9

from

14

1 9 \overline{∣ 14} \underline{9} 5

1 9 \overline{∣ 14} \underline{9} 5

The solution for Long Division of

\frac{14}{9}

1

with remainder of

5

1 Remainder 5

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{14}{9} = 1 \frac{5}{9}

= 1 \frac{5}{9}

= 1 \frac{5}{9}

Popular Examples

29/37

\frac{29}{37}

5/2*5/2

5/2 \cdot 5/2

Convert to a Percentage 3/7 convert

t o a p erce n t a g e 3/7

Find the GCF 15 , 35 gcf

15, 35

Divide 42÷7 long division

\frac{42}{7}

Frequently Asked Questions (FAQ)

What is (7/15)/(3/10) ?
The solution to (7/15)/(3/10) is 1 5/9