How do you subtract whole numbers and fractions

We will look at two possible methods used when subtracting fractions from a whole number.

Method 1

We convert the whole number to a mixed number and then perform the addition or subtraction.

Example:
Calculate


Solution:


How to subtract fractions from a whole number?
Step 1: Borrow 1 from the whole number portion.
Step 2: Convert 1 into an equivalent fraction with same denominator to the given fraction.
Step 3: Subtract the given fraction from the equivalent fraction you converted.
Step 4: Add the results from step 1 and step 3.

Subtract a fraction from a whole number worksheet

Example:
5 - 7/10
16 - 5/8
10 - 5/12
20 - 1/16

  • Show Video

Method 2

We convert the whole number to a fraction with the same denominator as the fraction and then perform the addition or subtraction.

Example:
Calculate


Solution:


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Whole numbers are all natural numbers including 0.

 A fraction represents a numerical value, which defines the parts of a whole

Answer: To subtract a fraction from a whole number, convert the whole number into a fraction, then take the lcm to make the denominator the same and subtract.

Let's look into the steps to subtract a fraction from a whole number

Explanation:

  1. Convert the whole number into a fraction by making the denominator 1.
  2. Compare the denominators and take lcm so that they become like fractions.
  3. Subtract the numerators of the two fractions.

Example: Subtract 1/2 from 4

  • Step 1: 4 in terms of a fraction is 4/1
  • Step 2: Since, 1/2 has 2 as the denominator hence, we need to make the denominator of 4/1 as 2. Thus, (4 × 2) / (1 × 2) = 8/2
  • Step 3: Subtract the numerators of the two fractions. 8/2 - 1/2 = (8-1)/2 = 7/2

Thus, to subtract a fraction from a whole number, convert the whole number into a fraction, then take the lcm to make the denominator the same and subtract.

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