What is 2/3 times 7/8?

"Multiplying Fractions Calculator" Calculator

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What is 2/3 times 7/8?

Answer

2/3 times 7/8 is 7/12

As a decimal: ≈ 0.5833

2
3
×
7
8
=
7
12

7/12 is the result of multiplying 2/3 by 7/8.

Steps to multiply 2/3 by 7/8

Multiplying fractions means taking a part of a part, so 2/3 × 7/8 is solved by multiplying the numerators together and the denominators together. Here is every step.

Step 1: Multiply across

Multiply the numerators together and the denominators together. No common denominator is needed — that is only for addition and subtraction.

2/3 × 7/8

=

(2 × 7)/(3 × 8)

=

14/24

Step 2: Reduce the fraction

The greatest common factor of 14 and 24 is 2, so divide both parts by it.

14/24

=

7/12

Answer

2/3 × 7/8

=

7/12

As a decimal, 2/3 × 7/8 ≈ 0.5833 — the decimal form is rounded, the fraction 7/12 is the exact answer.

See Also

About "Multiplying Fractions Calculator" Calculator

This calculator multiplies two fractions and shows the whole solution, not just the answer. Mixed numbers and whole numbers are accepted on both sides, so you can multiply 2 3/4 by 2/3 just as easily as 1/2 by 4.

For example, it can help you find out what is 2/3 times 7/8? (The answer is: 7/12).

Enter the first factor on the left and the second one on the right (for example '2/3' and '7/8'), 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: multiplying fractions means taking a part of a part, so the numerators multiply together and the denominators multiply together.

"Multiplying Fractions Calculator" Calculator

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Fraction Multiplication Table

MultiplicationResultDecimal Form
2/3 × 3/61/3≈ 0.3333
2/3 × 4/78/21≈ 0.381
2/3 × 3/52/5= 0.4
2/3 × 5/85/12≈ 0.4167
2/3 × 2/34/9≈ 0.4444
2/3 × 5/710/21≈ 0.4762
2/3 × 3/41/2= 0.5
2/3 × 4/58/15≈ 0.5333
2/3 × 5/65/9≈ 0.5556
2/3 × 6/74/7≈ 0.5714
2/3 × 7/87/12≈ 0.5833
2/3 × 12/3≈ 0.6667
2/3 × 4/38/9≈ 0.8889
2/3 × 1 1/38/9≈ 0.8889
2/3 × 1 2/514/15≈ 0.9333
2/3 × 3/21= 1
2/3 × 1 3/516/15≈ 1.0667
2/3 × 5/310/9≈ 1.1111
2/3 × 1 2/310/9≈ 1.1111
2/3 × 1 3/47/6≈ 1.1667

FAQ

What is 2/3 times 7/8?

2/3 times 7/8 is 7/12 As a decimal: ≈ 0.5833

How do you multiply 2/3 by 7/8?

Both numbers are already fractions in lowest terms. Multiply straight across: 2/3 × 7/8 = 14/24. Both parts share a factor of 2, so 14/24 reduces to 7/12.

What is 2/3 times 7/8 as a decimal?

The exact answer is the fraction 7/12; its decimal form is rounded here, so 2/3 × 7/8 ≈ 0.5833.

Why does 14/24 become 7/12?

The numerator and the denominator of 14/24 share a greatest common factor of 2. Dividing both by 2 leaves 7/12, the same value in its lowest terms.