What is 30 divided by 1/4?

Dividing Fractions Calculator
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÷

What is 30 divided by 1/4?

Answer

30 divided by 1/4 is
120
30
÷
1
4
= 120

120 is the result of dividing 30 by 1/4.

Steps to divide 30 by 1/4

Dividing by a fraction is the same as multiplying by its reciprocal, so 30 ÷ 1/4 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.

30 = 30/1

Step 2: Flip the divisor

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

30/1 ÷ 1/4 = 30/1 × 4/1

Step 3: Multiply across

Multiply the numerators together and the denominators together.

30/1 × 4/1

=

(30 × 4)/(1 × 1)

=

120/1

Answer

30 ÷ 1/4

=

120

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 30 divided by 1/4? (The answer is: 120).

Enter the dividend on the left and the divisor on the right (for example '30' and '1/4'), 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
30 ÷ 1/5150= 150
30 ÷ 1/4120= 120

FAQ

What is 30 divided by 1/4?

30 divided by 1/4 is 120

How do you divide 30 by 1/4?

Write both numbers as improper fractions: 30/1 and 1/4. Flip the divisor to 4/1 and multiply: 30/1 × 4/1 = 120/1, that is 120.

What is 30 divided by 1/4 as a decimal?

30 ÷ 1/4 = 120. The division comes out even, so there is nothing after the decimal point.