Add 36/42 and 16/30
36/42 + 16/30 is 146/105.
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,
16/30 = 16 × 7/30 × 7 = 112/210 - Add the two like fractions:
180/210 + 112/210 = 180 + 112/210 = 292/210 - 292/210 simplified gives 146/105
- So, 36/42 + 16/30 = 146/105
In mixed form: 141/105
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