What is 5/6 minus 7/10?

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What is 5/6 minus 7/10?

Answer

5/6 minus 7/10 is
2/15

As a decimal: ≈ 0.1333

5
6
-
7
10
=
2
15

2/15 is what is left when 7/10 is taken away from 5/6.

Steps to subtract 7/10 from 5/6

Only parts of the same size can be taken away from each other, so 5/6 - 7/10 is solved by giving both fractions the same denominator and then subtracting the numerators. Here is every step.

Step 1: Find the common denominator

The least common multiple of 6 and 10 is 30, so both fractions are rewritten over it.

5/6 = 25/30 (× 5)

7/10 = 21/30 (× 3)

Step 2: Subtract the numerators

The denominator stays as it is — it says how big each part is, and that has not changed. Only the count of parts is subtracted.

25/30 - 21/30

=

(25 - 21)/30

=

4/30

Step 3: Reduce the fraction

The greatest common factor of 4 and 30 is 2, so divide both parts by it. The sign is not touched.

4/30

=

2/15

Answer

5/6 - 7/10

=

2/15

As a decimal, 5/6 - 7/10 ≈ 0.1333 — the decimal form is rounded, the fraction 2/15 is the exact answer.

See Also

Subtracting Fractions Calculator

This calculator subtracts one fraction from another and shows the whole solution, not just the answer. Mixed numbers and whole numbers are accepted on both sides, so you can take 1/2 away from 2 1/3 just as easily as from 3/4.

For example, it can help you find out what is 5/6 minus 7/10? (The answer is: 2/15).

Enter the number you start from on the left and the number you take away on the right (for example '5/6' and '7/10'), then press the button.

Order matters here: 1/2 - 1/3 and 1/3 - 1/2 are different questions. When the second number is the larger one the answer is negative, and the page prints the minus sign instead of hiding it.

Every page also shows why the method works: only parts of the same size can be taken away from each other, so both fractions are first rewritten over their least common denominator and only then are the numerators subtracted.

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Fraction Subtraction Table

SubtractionResultDecimal Form
5/6 - 1/31/2= 0.5
5/6 - 3/811/24≈ 0.4583
5/6 - 2/513/30≈ 0.4333
5/6 - 5/125/12≈ 0.4167
5/6 - 3/717/42≈ 0.4048
5/6 - 1/21/3≈ 0.3333
5/6 - 2/41/3≈ 0.3333
5/6 - 3/57/30≈ 0.2333
5/6 - 5/85/24≈ 0.2083
5/6 - 2/31/6≈ 0.1667
5/6 - 7/102/15≈ 0.1333
5/6 - 5/75/42≈ 0.119
5/6 - 3/41/12≈ 0.0833
5/6 - 4/51/30≈ 0.0333
5/6 - 7/8-1/24≈ -0.0417
5/6 - 1-1/6≈ -0.1667
5/6 - 1 1/4-5/12≈ -0.4167
5/6 - 1 1/3-1/2= -0.5
5/6 - 1 1/2-2/3≈ -0.6667
5/6 - 3/2-2/3≈ -0.6667

FAQ

What is 5/6 minus 7/10?

5/6 minus 7/10 is 2/15

How do you subtract 7/10 from 5/6?

The least common denominator of 5/6 and 7/10 is 30. The difference is then 25/30 - 21/30 = 4/30. Both parts share a factor of 2, so 4/30 reduces to 2/15.

What is 5/6 minus 7/10 as a decimal?

The exact answer is the fraction 2/15; its decimal form is rounded here, so 5/6 - 7/10 ≈ 0.1333.

Why does 4/30 become 2/15?

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