
- Add and Subtract Fractions
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- Add or Subtract Fractions With the Same Denominator
- Add or Subtract Fractions With the Same Denominator and Simplification
- Finding the LCD of Two Fractions
- Addition or Subtraction of Unit Fractions
- Addition or Subtraction of Fractions With Different Denominators
- Add or Subtract Fractions With Different Denominators Advanced
- Word Problem Involving Add or Subtract Fractions With Different Denominators
- Fractional Part of a Circle
Add or Subtract Fractions With the Same Denominator and Simplification
If fractions with same denominators are to be added, we add the numerators only and keep the same denominator. If necessary, we simplify the resulting fraction to lowest terms.
- Sum of the fractions = $\frac{a}{c}$ + $\frac{b}{c}$ = $\frac{(a + b)}{c}$, where a, b and c are any three real numbers.
If fractions with same denominators are to be subtracted, we subtract the numerators only and keep the same denominator. If necessary, we simplify the resulting fraction to lowest terms.
- Difference of the fractions = $\frac{a}{c}$ − $\frac{b}{c}$ = $\frac{(a − b)}{c}$, where a, b and c are any three real numbers.
Add $\frac{3}{8}$ + $\frac{1}{8}$
Solution
Step 1:
Add $\frac{3}{8}$ + $\frac{1}{8}$
Here, the denominators are the same 8. Since this is an addition operation,
We add the numerators 3 + 1 = 4 and put the result 4 over the common denominator to get the answer.
So $\frac{3}{8}$ + $\frac{1}{8}$ = $\frac{(3+1)}{8}$ = $\frac{4}{8}$
Step 2:
Reducing the fraction to lowest terms
$\frac{4}{8}$ = $\frac{1}{2}$
So, $\frac{3}{8}$ + $\frac{1}{8}$ = $\frac{1}{2}$
Subtract $\frac{5}{6}$ − $\frac{1}{6}$
Solution
Step 1:
Subtract $\frac{5}{6}$ − $\frac{1}{6}$
Here, the denominators are same 6. Since this is a subtraction operation, we subtract the numerators, 5 − 1 = 4 and put the result 4 over the common denominator 6.
So $\frac{5}{6}$ − $\frac{1}{6}$ = $\frac{(5-1)}{6}$ = $\frac{4}{6}$
Step 2:
Simplifying to the lowest terms,
$\frac{4}{6}$ = $\frac{2}{3}$
So, $\frac{5}{6}$ − $\frac{1}{6}$ = $\frac{2}{3}$