What is 13/15 divided by 7/10?

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What is 13/15 divided by 7/10?

Answer

13/15 divided by 7/10 is
26/21

As a mixed number: 1 5/21

As a decimal: ≈ 1.2381

13
15
÷
7
10
=
26
21

26/21 is the result of dividing 13/15 by 7/10. As a mixed number that is 1 5/21.

Steps to divide 13/15 by 7/10

Dividing by a fraction is the same as multiplying by its reciprocal, so 13/15 ÷ 7/10 is solved by turning the divisor upside down and multiplying. Here is every step.

Step 1: Flip the divisor

The reciprocal of 7/10 is 10/7, because a fraction and its reciprocal multiply to 1. Division by 7/10 therefore becomes multiplication by 10/7.

13/15 ÷ 7/10 = 13/15 × 10/7

Step 2: Multiply across

Multiply the numerators together and the denominators together.

13/15 × 10/7

=

(13 × 10)/(15 × 7)

=

130/105

Step 3: Reduce the fraction

The greatest common factor of 130 and 105 is 5, so divide both parts by it.

130/105

=

26/21

Step 4: Write it as a mixed number

The numerator is larger than the denominator, so 26/21 can also be written as a mixed number.

26/21 = 1 5/21

Answer

13/15 ÷ 7/10

=

26/21

(1 5/21)

As a decimal, 13/15 ÷ 7/10 ≈ 1.2381 — the decimal form is rounded, the fraction 26/21 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 13/15 divided by 7/10? (The answer is: 26/21).

Enter the dividend on the left and the divisor on the right (for example '13/15' and '7/10'), 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
13/15 ÷ 7/1026/21≈ 1.2381

FAQ

What is 13/15 divided by 7/10?

13/15 divided by 7/10 is 26/21

How do you divide 13/15 by 7/10?

Write both numbers as improper fractions: 13/15 and 7/10. Flip the divisor to 10/7 and multiply: 13/15 × 10/7 = 130/105. Both parts share a factor of 5, so 130/105 reduces to 26/21.

What is 13/15 divided by 7/10 as a decimal?

The exact answer is the fraction 26/21; its decimal form is rounded here, so 13/15 ÷ 7/10 ≈ 1.2381.

Why does 130/105 become 26/21?

The numerator and the denominator of 130/105 share a greatest common factor of 5. Dividing both by 5 leaves 26/21, the same value in its lowest terms.

See Also