Addition of fractions with unlike denominators: 3/10 + 1/6 = 7/15
Subtraction of fractions with unlike denominators: 7/8 - 5/6 = 1/24
Step-by-step explanation:
"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.
Addition of fractions with unlike denominators:
⇒ Add 3/10 and 1/6.
⇒ Taking LCM 2 |10 6
|5 3
⇒ The LCM is 2[tex]\times[/tex]5[tex]\times[/tex]3 = 30.
⇒ 3/10 + 1/6 = (3[tex]\times[/tex]3)/(10[tex]\times[/tex]3) + (1[tex]\times[/tex]5)/(6[tex]\times[/tex]5)
= 9/30 + 5/30
= 14/30 = 7/15
Subtraction of fractions with unlike denominators:
⇒ Subtract 7/8 and 5/6.
⇒ Taking LCM 2 |8 6
|4 3
⇒ The LCM is 2[tex]\times[/tex]4[tex]\times[/tex]3 = 24.
⇒ 7/8 - 5/6 = (7[tex]\times[/tex]3)/(8[tex]\times[/tex]3) + (5[tex]\times[/tex]4)/(6[tex]\times[/tex]4)
= 21/24 - 20/24
= 1/24
