What is 2 divided by 3/4?

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What is 2 divided by 3/4?

Answer

2 divided by 3/4 is 8/3

As a mixed number: 2 2/3

As a decimal: ≈ 2.6667

2
÷
3
4
=
8
3

8/3 is the result of dividing 2 by 3/4. As a mixed number that is 2 2/3.

Steps to divide 2 by 3/4

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

2 = 2/1

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.

2/1 ÷ 3/4 = 2/1 × 4/3

Step 3: Multiply across

Multiply the numerators together and the denominators together.

2/1 × 4/3

=

(2 × 4)/(1 × 3)

=

8/3

Step 4: Write it as a mixed number

The numerator is larger than the denominator, so 8/3 can also be written as a mixed number.

8/3 = 2 2/3

Answer

2 ÷ 3/4

=

8/3

(2 2/3)

As a decimal, 2 ÷ 3/4 ≈ 2.6667 — the decimal form is rounded, the fraction 8/3 is the exact answer.

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About "Dividing Fractions Calculator" 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 2 divided by 3/4? (The answer is: 8/3).

Enter the dividend on the left and the divisor on the right (for example '2' 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.

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Fraction Division Table

DivisionResultDecimal Form
2 ÷ 1/510= 10
2 ÷ 1/48= 8
2 ÷ 1/36= 6
2 ÷ 2/55= 5
2 ÷ 1/24= 4
2 ÷ 2/44= 4
2 ÷ 3/510/3≈ 3.3333
2 ÷ 2/33= 3
2 ÷ 3/48/3≈ 2.6667
2 ÷ 4/55/2= 2.5
2 ÷ 6/55/3≈ 1.6667
2 ÷ 5/48/5= 1.6
2 ÷ 1 1/48/5= 1.6
2 ÷ 4/33/2= 1.5
2 ÷ 1 1/33/2= 1.5
2 ÷ 7/510/7≈ 1.4286
2 ÷ 3/24/3≈ 1.3333
2 ÷ 6/44/3≈ 1.3333
2 ÷ 1 1/24/3≈ 1.3333
2 ÷ 8/55/4= 1.25

FAQ

What is 2 divided by 3/4?

2 divided by 3/4 is 8/3 As a mixed number: 2 2/3 As a decimal: ≈ 2.6667

How do you divide 2 by 3/4?

Write both numbers as improper fractions: 2/1 and 3/4. Flip the divisor to 4/3 and multiply: 2/1 × 4/3 = 8/3, already in lowest terms.

What is 2 divided by 3/4 as a decimal?

The exact answer is the fraction 8/3; its decimal form is rounded here, so 2 ÷ 3/4 ≈ 2.6667.

See Also