What is 6/4 divided by 2/5?

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What is 6/4 divided by 2/5?

Answer

6/4 divided by 2/5 is 15/4

As a mixed number: 3 3/4

As a decimal: 3.75

6
4
÷
2
5
=
15
4

15/4 is the result of dividing 6/4 by 2/5. As a mixed number that is 3 3/4.

Steps to divide 6/4 by 2/5

Dividing by a fraction is the same as multiplying by its reciprocal, so 6/4 ÷ 2/5 is solved by turning the divisor upside down and multiplying. Here is every step.

Step 1: Flip the divisor

The reciprocal of 2/5 is 5/2, because a fraction and its reciprocal multiply to 1. Division by 2/5 therefore becomes multiplication by 5/2.

6/4 ÷ 2/5 = 6/4 × 5/2

Step 2: Multiply across

Multiply the numerators together and the denominators together.

6/4 × 5/2

=

(6 × 5)/(4 × 2)

=

30/8

Step 3: Reduce the fraction

The greatest common factor of 30 and 8 is 2, so divide both parts by it.

30/8

=

15/4

Step 4: Write it as a mixed number

The numerator is larger than the denominator, so 15/4 can also be written as a mixed number.

15/4 = 3 3/4

Answer

6/4 ÷ 2/5

=

15/4

(3 3/4)

As a decimal, 6/4 ÷ 2/5 = 3.75.

See Also

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 6/4 divided by 2/5? (The answer is: 15/4).

Enter the dividend on the left and the divisor on the right (for example '6/4' and '2/5'), 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
6/4 ÷ 1/515/2= 7.5
6/4 ÷ 1/46= 6
6/4 ÷ 1/39/2= 4.5
6/4 ÷ 2/515/4= 3.75
6/4 ÷ 1/23= 3
6/4 ÷ 2/43= 3
6/4 ÷ 3/55/2= 2.5
6/4 ÷ 2/39/4= 2.25
6/4 ÷ 3/42= 2
6/4 ÷ 4/515/8= 1.875
6/4 ÷ 6/55/4= 1.25
6/4 ÷ 5/46/5= 1.2
6/4 ÷ 4/39/8= 1.125
6/4 ÷ 7/515/14≈ 1.0714
6/4 ÷ 3/21= 1
6/4 ÷ 6/41= 1
6/4 ÷ 8/515/16= 0.9375
6/4 ÷ 5/39/10= 0.9
6/4 ÷ 7/46/7≈ 0.8571
6/4 ÷ 9/55/6≈ 0.8333

FAQ

What is 6/4 divided by 2/5?

6/4 divided by 2/5 is 15/4 As a mixed number: 3 3/4 As a decimal: 3.75

How do you divide 6/4 by 2/5?

Write both numbers as improper fractions: 6/4 and 2/5. Flip the divisor to 5/2 and multiply: 6/4 × 5/2 = 30/8. Both parts share a factor of 2, so 30/8 reduces to 15/4.

What is 6/4 divided by 2/5 as a decimal?

6/4 ÷ 2/5 = 15/4 = 3.75 exactly.

Why does 30/8 become 15/4?

The numerator and the denominator of 30/8 share a greatest common factor of 2. Dividing both by 2 leaves 15/4, the same value in its lowest terms.