Add 36/42 and 21/30
36/42 + 21/30 is 109/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
36/42 = 36 × 5/42 × 5 = 180/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
21/30 = 21 × 7/30 × 7 = 147/210 - Add the two like fractions:
180/210 + 147/210 = 180 + 147/210 = 327/210 - 327/210 simplified gives 109/70
- So, 36/42 + 21/30 = 109/70
In mixed form: 139/70
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