Solve the Fraction Subtraction: 3/5 minus 1/2

Question

Solve the following exercise:

3512=? \frac{3}{5}-\frac{1}{2}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:04 Multiply by the second denominator to find the common denominator
00:08 Make sure to multiply both numerator and denominator
00:18 Calculate the multiplications
00:26 Subtract with the common denominator
00:33 Calculate the numerator
00:36 And this is the solution to the question

Step-by-Step Solution

To solve the subtraction of fractions 3512 \frac{3}{5} - \frac{1}{2} , we will follow these steps:

  • Step 1: Find the least common multiple (LCM) of the denominators 5 and 2. The LCM of 5 and 2 is 10.
  • Step 2: Convert each fraction to have a denominator of 10.
  • Step 3: Subtract the converted fractions.
  • Step 4: Simplify the result if necessary.

Now, let's work through each step in detail:

Step 1: The LCM of 5 and 2 is 10, since 10 is the smallest number that both 5 and 2 divide into evenly.

Step 2: Convert each fraction to have a denominator of 10.

For 35\frac{3}{5}:
Multiply numerator and denominator by 2 to get 3×25×2=610\frac{3 \times 2}{5 \times 2} = \frac{6}{10}.

For 12\frac{1}{2}:
Multiply numerator and denominator by 5 to get 1×52×5=510\frac{1 \times 5}{2 \times 5} = \frac{5}{10}.

Step 3: Subtract the fractions:

610510=6510=110\frac{6}{10} - \frac{5}{10} = \frac{6 - 5}{10} = \frac{1}{10}.

Step 4: There is no further simplification needed for 110\frac{1}{10} as it is already in its simplest form.

Therefore, the solution to the problem is 110\frac{1}{10}.

The correct answer, choice (4), is 110\frac{1}{10}.

Answer

110 \frac{1}{10}