What is 12/20 divided by 18/16?

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What is 12/20 divided by 18/16?

Answer

12/20 divided by 18/16 is
8/15

As a decimal: ≈ 0.5333

12
20
÷
18
16
=
8
15

8/15 is the result of dividing 12/20 by 18/16.

Steps to divide 12/20 by 18/16

Dividing by a fraction is the same as multiplying by its reciprocal, so 12/20 ÷ 18/16 is solved by turning the divisor upside down and multiplying. Here is every step.

Step 1: Flip the divisor

The reciprocal of 18/16 is 16/18, because a fraction and its reciprocal multiply to 1. Division by 18/16 therefore becomes multiplication by 16/18.

12/20 ÷ 18/16 = 12/20 × 16/18

Step 2: Multiply across

Multiply the numerators together and the denominators together.

12/20 × 16/18

=

(12 × 16)/(20 × 18)

=

192/360

Step 3: Reduce the fraction

The greatest common factor of 192 and 360 is 24, so divide both parts by it.

192/360

=

8/15

Answer

12/20 ÷ 18/16

=

8/15

As a decimal, 12/20 ÷ 18/16 ≈ 0.5333 — the decimal form is rounded, the fraction 8/15 is the exact answer.

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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 12/20 divided by 18/16? (The answer is: 8/15).

Enter the dividend on the left and the divisor on the right (for example '12/20' and '18/16'), 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
12/20 ÷ 18/168/15≈ 0.5333

FAQ

What is 12/20 divided by 18/16?

12/20 divided by 18/16 is 8/15

How do you divide 12/20 by 18/16?

Write both numbers as improper fractions: 12/20 and 18/16. Flip the divisor to 16/18 and multiply: 12/20 × 16/18 = 192/360. Both parts share a factor of 24, so 192/360 reduces to 8/15.

What is 12/20 divided by 18/16 as a decimal?

The exact answer is the fraction 8/15; its decimal form is rounded here, so 12/20 ÷ 18/16 ≈ 0.5333.

Why does 192/360 become 8/15?

The numerator and the denominator of 192/360 share a greatest common factor of 24. Dividing both by 24 leaves 8/15, the same value in its lowest terms.