What is 12/15\times 9/10 ?

The solution to 12/15\times 9/10 is 18/25

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Popular >

12/15\times 9/10

Solution

12/15 \times 9/10

Solution

\frac{18}{25}

Solution steps

12/15 \times 9/10

Follow the PEMDAS order of operations

Multiply and divide (left to right)

12/15 = \frac{12}{15}

= \frac{12}{15} \times 9/10

\frac{12}{15} \times 9 = \frac{36}{5}

\frac{12}{15} \cdot 9

Cancel

\frac{12}{15} : \frac{4}{5}

\frac{12}{15}

Factor the number:

12 = 3 \cdot 4

= \frac{3 \cdot 4}{15}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 4}{3 \cdot 5}

Cancel the common factor:

3

= \frac{4}{5}

= \frac{4}{5} \cdot 9

\frac{4}{5} \cdot 9 = \frac{36}{5}

\frac{4}{5} \cdot 9

Convert element to fraction:

9 = \frac{9}{1}

= \frac{4}{5} \cdot \frac{9}{1}

Apply the fraction rule:

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

= \frac{4 \cdot 9}{5 \cdot 1}

Multiply the numbers:

4 \cdot 9 = 36

= \frac{36}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{36}{5}

= \frac{36}{5}

= \frac{36}{5} /10

\frac{36}{5} /10 = \frac{18}{25}

\frac{36}{5} /10

Convert element to fraction:

10 = \frac{10}{1}

= \frac{36}{5} \div \frac{10}{1}

Apply the fraction rule:

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

= \frac{36}{5} \cdot \frac{1}{10}

Cross-cancel common factor:

2

36, 10

Greatest Common Divisor (GCD)

Prime factorization of

36 : 2 \cdot 2 \cdot 3 \cdot 3

36

36

divides by

236 = 18 \cdot 2

= 2 \cdot 18

18

divides by

218 = 9 \cdot 2

= 2 \cdot 2 \cdot 9

9

divides by

39 = 3 \cdot 3

= 2 \cdot 2 \cdot 3 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 3 \cdot 3

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

The prime factors common to

36, 10

are

= 2

= \frac{18}{5} \cdot \frac{1}{5}

Multiply fractions:

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

= \frac{18 \cdot 1}{5 \cdot 5}

Multiply the numbers:

18 \cdot 1 = 18

= \frac{18}{5 \cdot 5}

Multiply the numbers:

5 \cdot 5 = 25

= \frac{18}{25}

= \frac{18}{25}

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-2*2/5+3

- 2 \cdot \frac{2}{5} + 3

Frequently Asked Questions (FAQ)

What is 12/15\times 9/10 ?
The solution to 12/15\times 9/10 is 18/25