What is 18 divided by 4/5?

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What is 18 divided by 4/5?

Answer

18 divided by 4/5 is
45/2

As a mixed number: 22 1/2

As a decimal: 22.5

18
÷
4
5
=
45
2

45/2 is the result of dividing 18 by 4/5. As a mixed number that is 22 1/2.

Steps to divide 18 by 4/5

Dividing by a fraction is the same as multiplying by its reciprocal, so 18 ÷ 4/5 is solved by turning the divisor upside down and multiplying. Here is every step.

Step 1: Write both numbers as fractions

A whole number is written over 1, and a mixed number becomes an improper fraction: multiply the whole part by the denominator and add the numerator.

18 = 18/1

Step 2: Flip the divisor

The reciprocal of 4/5 is 5/4, because a fraction and its reciprocal multiply to 1. Division by 4/5 therefore becomes multiplication by 5/4.

18/1 ÷ 4/5 = 18/1 × 5/4

Step 3: Multiply across

Multiply the numerators together and the denominators together.

18/1 × 5/4

=

(18 × 5)/(1 × 4)

=

90/4

Step 4: Reduce the fraction

The greatest common factor of 90 and 4 is 2, so divide both parts by it.

90/4

=

45/2

Step 5: Write it as a mixed number

The numerator is larger than the denominator, so 45/2 can also be written as a mixed number.

45/2 = 22 1/2

Answer

18 ÷ 4/5

=

45/2

(22 1/2)

As a decimal, 18 ÷ 4/5 = 22.5.

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 18 divided by 4/5? (The answer is: 45/2).

Enter the dividend on the left and the divisor on the right (for example '18' and '4/5'), 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
18 ÷ 1/6108= 108
18 ÷ 2/327= 27
18 ÷ 3/424= 24
18 ÷ 4/545/2= 22.5

FAQ

What is 18 divided by 4/5?

18 divided by 4/5 is 45/2

How do you divide 18 by 4/5?

Write both numbers as improper fractions: 18/1 and 4/5. Flip the divisor to 5/4 and multiply: 18/1 × 5/4 = 90/4. Both parts share a factor of 2, so 90/4 reduces to 45/2.

What is 18 divided by 4/5 as a decimal?

18 ÷ 4/5 = 45/2 = 22.5 exactly.

Why does 90/4 become 45/2?

The numerator and the denominator of 90/4 share a greatest common factor of 2. Dividing both by 2 leaves 45/2, the same value in its lowest terms.