Solve the Fraction Subtraction: 3/5 minus 3/10

Question

Solve the following exercise:

35310=? \frac{3}{5}-\frac{3}{10}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:04 Multiply the fraction by 2 to get to the common denominator
00:07 Make sure to multiply both numerator and denominator
00:13 Calculate the multiplications
00:19 Subtract with the common denominator
00:23 Calculate the numerator
00:26 And this is the solution to the question

Step-by-Step Solution

To solve the problem 35310\frac{3}{5} - \frac{3}{10}, follow these steps:

  • Step 1: Find the common denominator:
  • The denominators are 5 and 10. The least common multiple (LCM) of 5 and 10 is 10, so our common denominator is 10.

  • Step 2: Convert each fraction to have the common denominator:
  • Convert 35\frac{3}{5} to a fraction with a denominator of 10:

    Multiply both the numerator and denominator of 35\frac{3}{5} by 2 to get 610\frac{6}{10}.

    Note: 310\frac{3}{10} already has the common denominator of 10, so it remains unchanged.

  • Step 3: Perform the subtraction:
  • Subtract 310\frac{3}{10} from 610\frac{6}{10}:

    610310=6310=310\frac{6}{10} - \frac{3}{10} = \frac{6 - 3}{10} = \frac{3}{10}.

    Therefore, the solution to the problem is 310\frac{3}{10}.

Answer

310 \frac{3}{10}