Addition of fractions with unlike denominators: 3/10 + 1/6 = 7/15
Subtraction of fractions with unlike denominators: 7/8 - 5/6 = 1/24
<u>Step-by-step explanation</u>:
"Unlike denominator" is said to have different numbers in the denominator.
- Change the unlike denominators to like denominators by finding the least common multiple (LCM) of the denominators.
- Now multiply the numerator and denominator with same number that gives the LCM in the denominator.
- Add or subtract the numerators according to the operator given, but do not perform any operation in the denominators.
<u>Addition of fractions with unlike denominators</u>:
⇒ Add 3/10 and 1/6.
⇒ Taking LCM 2 |<u>10 6</u>
<u>|5 3 </u>
⇒ The LCM is 2
5
3 = 30.
⇒ 3/10 + 1/6 = (3
3)/(10
3) + (1
5)/(6
5)
= 9/30 + 5/30
= 14/30 = 7/15
<u>Subtraction of fractions with unlike denominators</u>:
⇒ Subtract 7/8 and 5/6.
⇒ Taking LCM 2 <u>|8 6</u>
<u>|4 3 </u>
⇒ The LCM is 2
4
3 = 24.
⇒ 7/8 - 5/6 = (7
3)/(8
3) + (5
4)/(6
4)
= 21/24 - 20/24
= 1/24