Subtracting Mixed Fractions with Like Denominators
To subtract mixed fractions with like denominators, we need to follow the steps mentioned below:
- Convert mixed fractions to improper fractions if they’re not already in that form.
- Subtract the numerators while keeping the common denominator.
- Simplify the resulting fraction if possible.
Let’s consider example of subtraction of a pair of mixed fraction with like denominators i.e., 11(12/16) and 5 (8/16).
Step 1: Convert mixed fractions to improper fractions:
- [Tex]5\frac{8}{16} = \frac{5 \times 16}{16} + \frac{8}{16} = \frac{80}{16} + \frac{8}{16} = \frac{88}{16}[/Tex]
- [Tex]11\frac{12}{16} = \frac{11 \times 16}{16} + \frac{12}{16} = \frac{176}{16} + \frac{12}{16} = \frac{188}{16}[/Tex]
Step 2: Subtract the numerators while keeping the common denominator:
- [Tex]\frac{88}{16} – \frac{188}{16} = \frac{88 – 188}{16} = \frac{-100}{16}[/Tex]
Step 3: Simplify the resulting fraction:
Since the numerator is negative, we can represent it as [Tex]- \frac{100}{16}[/Tex] a
[Tex]\frac{-100}{16} = -\frac{25}{4}[/Tex]
Which can be simplified to –[Tex]6\frac{1}{4}[/Tex].
Subtracting Mixed Fractions
Subtracting Mixed Fractions is method of finding difference between two mixed fractions. Originally, these mixed fractions are improper fractions that expressed as a sum of whole number and a proper fraction. Suppose 5(2/6) – 3(1/6). Firstly, we have to convert them into improper fractions that will be 10/6 and 3/6. Now, we subtract 3/6 from 10/6, which gives 7/6, or in the mixed fraction, that will be 1(1/6).
In this article, we will learn about subtraction of mixed fractions along with basic introduction of mixed fraction.