What is 49/50 divided by 7/6?

Dividing Fractions Calculator
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What is 49/50 divided by 7/6?

Answer

49/50 divided by 7/6 is
21/25

As a decimal: 0.84

49
50
÷
7
6
=
21
25

21/25 is the result of dividing 49/50 by 7/6.

Steps to divide 49/50 by 7/6

Dividing by a fraction is the same as multiplying by its reciprocal, so 49/50 ÷ 7/6 is solved by turning the divisor upside down and multiplying. Here is every step.

Step 1: Flip the divisor

The reciprocal of 7/6 is 6/7, because a fraction and its reciprocal multiply to 1. Division by 7/6 therefore becomes multiplication by 6/7.

49/50 ÷ 7/6 = 49/50 × 6/7

Step 2: Multiply across

Multiply the numerators together and the denominators together.

49/50 × 6/7

=

(49 × 6)/(50 × 7)

=

294/350

Step 3: Reduce the fraction

The greatest common factor of 294 and 350 is 14, so divide both parts by it.

294/350

=

21/25

Answer

49/50 ÷ 7/6

=

21/25

As a decimal, 49/50 ÷ 7/6 = 0.84.

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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 49/50 divided by 7/6? (The answer is: 21/25).

Enter the dividend on the left and the divisor on the right (for example '49/50' and '7/6'), 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
49/50 ÷ 7/621/25= 0.84

FAQ

What is 49/50 divided by 7/6?

49/50 divided by 7/6 is 21/25

How do you divide 49/50 by 7/6?

Write both numbers as improper fractions: 49/50 and 7/6. Flip the divisor to 6/7 and multiply: 49/50 × 6/7 = 294/350. Both parts share a factor of 14, so 294/350 reduces to 21/25.

What is 49/50 divided by 7/6 as a decimal?

49/50 ÷ 7/6 = 21/25 = 0.84 exactly.

Why does 294/350 become 21/25?

The numerator and the denominator of 294/350 share a greatest common factor of 14. Dividing both by 14 leaves 21/25, the same value in its lowest terms.

See Also