What is 8/9 divided by 12/5?

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What is 8/9 divided by 12/5?

Answer

8/9 divided by 12/5 is
10/27

As a decimal: ≈ 0.3704

8
9
÷
12
5
=
10
27

10/27 is the result of dividing 8/9 by 12/5.

Steps to divide 8/9 by 12/5

Dividing by a fraction is the same as multiplying by its reciprocal, so 8/9 ÷ 12/5 is solved by turning the divisor upside down and multiplying. Here is every step.

Step 1: Flip the divisor

The reciprocal of 12/5 is 5/12, because a fraction and its reciprocal multiply to 1. Division by 12/5 therefore becomes multiplication by 5/12.

8/9 ÷ 12/5 = 8/9 × 5/12

Step 2: Multiply across

Multiply the numerators together and the denominators together.

8/9 × 5/12

=

(8 × 5)/(9 × 12)

=

40/108

Step 3: Reduce the fraction

The greatest common factor of 40 and 108 is 4, so divide both parts by it.

40/108

=

10/27

Answer

8/9 ÷ 12/5

=

10/27

As a decimal, 8/9 ÷ 12/5 ≈ 0.3704 — the decimal form is rounded, the fraction 10/27 is the exact answer.

Related Calculations

See Also

Dividing Fractions Calculator

This calculator divides one fraction by another and shows the whole solution, not just the answer. Mixed numbers and whole numbers are accepted on both sides, so you can divide 2 3/4 by 2/3 just as easily as 1/2 by 4.

For example, it can help you find out what is 8/9 divided by 12/5? (The answer is: 10/27).

Enter the dividend on the left and the divisor on the right (for example '8/9' and '12/5'), then press the button.

The result is given as a fraction in its lowest terms, as a mixed number when it is greater than one, and as a decimal — with an approximation sign whenever the decimal never ends.

Every page also shows why the method works: dividing by a fraction is the same as multiplying by its reciprocal, so the divisor is flipped and the two fractions are multiplied.

Fraction Division Table

DivisionResultDecimal Form
8/9 ÷ 1/38/3≈ 2.6667
8/9 ÷ 4/92= 2
8/9 ÷ 3/432/27≈ 1.1852
8/9 ÷ 12/510/27≈ 0.3704
8/9 ÷ 42/9≈ 0.2222
8/9 ÷ 98/81≈ 0.0988

FAQ

What is 8/9 divided by 12/5?

8/9 divided by 12/5 is 10/27

How do you divide 8/9 by 12/5?

Write both numbers as improper fractions: 8/9 and 12/5. Flip the divisor to 5/12 and multiply: 8/9 × 5/12 = 40/108. Both parts share a factor of 4, so 40/108 reduces to 10/27.

What is 8/9 divided by 12/5 as a decimal?

The exact answer is the fraction 10/27; its decimal form is rounded here, so 8/9 ÷ 12/5 ≈ 0.3704.

Why does 40/108 become 10/27?

The numerator and the denominator of 40/108 share a greatest common factor of 4. Dividing both by 4 leaves 10/27, the same value in its lowest terms.