What is 21 divided by 3/4?

Dividing Fractions Calculator
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÷

What is 21 divided by 3/4?

Answer

21 divided by 3/4 is
28
21
÷
3
4
= 28

28 is the result of dividing 21 by 3/4.

Steps to divide 21 by 3/4

Dividing by a fraction is the same as multiplying by its reciprocal, so 21 ÷ 3/4 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.

21 = 21/1

Step 2: Flip the divisor

The reciprocal of 3/4 is 4/3, because a fraction and its reciprocal multiply to 1. Division by 3/4 therefore becomes multiplication by 4/3.

21/1 ÷ 3/4 = 21/1 × 4/3

Step 3: Multiply across

Multiply the numerators together and the denominators together.

21/1 × 4/3

=

(21 × 4)/(1 × 3)

=

84/3

Step 4: Reduce the fraction

The greatest common factor of 84 and 3 is 3, so divide both parts by it.

84/3

=

28

Answer

21 ÷ 3/4

=

28

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 21 divided by 3/4? (The answer is: 28).

Enter the dividend on the left and the divisor on the right (for example '21' and '3/4'), 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
21 ÷ 3/428= 28
21 ÷ 3 1/26= 6

FAQ

What is 21 divided by 3/4?

21 divided by 3/4 is 28

How do you divide 21 by 3/4?

Write both numbers as improper fractions: 21/1 and 3/4. Flip the divisor to 4/3 and multiply: 21/1 × 4/3 = 84/3. Both parts share a factor of 3, so 84/3 reduces to 28.

What is 21 divided by 3/4 as a decimal?

21 ÷ 3/4 = 28. The division comes out even, so there is nothing after the decimal point.

Why does 84/3 become 28?

The numerator and the denominator of 84/3 share a greatest common factor of 3. Dividing both by 3 leaves 28, the same value in its lowest terms.