Subtracting Fractions with Like Denominators Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Subtract 710−310\frac{7}{10} - \frac{3}{10}.

Solution

  1. 1
    Denominators are equal (1010), so subtract only the numerators: 7−3=47 - 3 = 4.
  2. 2
    Result: 410\frac{4}{10}.
  3. 3
    Simplify: gcd⁡(4,10)=2\gcd(4, 10) = 2, so 410=25\frac{4}{10} = \frac{2}{5}.

Answer

25\frac{2}{5}
Subtracting like-denominator fractions mirrors adding them: operate only on the numerators and keep the denominator fixed. Always check whether the result simplifies.

About Subtracting Fractions with Like Denominators

Subtracting fractions that share the same denominator by subtracting the numerators and keeping the denominator.

Learn more about Subtracting Fractions with Like Denominators →

More Subtracting Fractions with Like Denominators Examples

Example 2 medium

A board is [formula] of a metre long. A piece of [formula] of a metre is cut off. What length remain

Example 3 easy

Compute [formula].

Example 4 hard

You need [formula] cups of milk for a recipe, but only have [formula] of a cup. How much more milk d

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