What is 14 divided by 2/7?

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÷

What is 14 divided by 2/7?

Answer

14 divided by 2/7 is
49
14
÷
2
7
= 49

49 is the result of dividing 14 by 2/7.

Steps to divide 14 by 2/7

Dividing by a fraction is the same as multiplying by its reciprocal, so 14 ÷ 2/7 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.

14 = 14/1

Step 2: Flip the divisor

The reciprocal of 2/7 is 7/2, because a fraction and its reciprocal multiply to 1. Division by 2/7 therefore becomes multiplication by 7/2.

14/1 ÷ 2/7 = 14/1 × 7/2

Step 3: Multiply across

Multiply the numerators together and the denominators together.

14/1 × 7/2

=

(14 × 7)/(1 × 2)

=

98/2

Step 4: Reduce the fraction

The greatest common factor of 98 and 2 is 2, so divide both parts by it.

98/2

=

49

Answer

14 ÷ 2/7

=

49

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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 14 divided by 2/7? (The answer is: 49).

Enter the dividend on the left and the divisor on the right (for example '14' and '2/7'), 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.

Recalculate with different values ↑

Fraction Division Table

DivisionResultDecimal Form
14 ÷ 2/749= 49

FAQ

What is 14 divided by 2/7?

14 divided by 2/7 is 49

How do you divide 14 by 2/7?

Write both numbers as improper fractions: 14/1 and 2/7. Flip the divisor to 7/2 and multiply: 14/1 × 7/2 = 98/2. Both parts share a factor of 2, so 98/2 reduces to 49.

What is 14 divided by 2/7 as a decimal?

14 ÷ 2/7 = 49. The division comes out even, so there is nothing after the decimal point.

Why does 98/2 become 49?

The numerator and the denominator of 98/2 share a greatest common factor of 2. Dividing both by 2 leaves 49, the same value in its lowest terms.

See Also