Add 40/70 and 35/42
40/70 + 35/42 is 59/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 70 × 3 = 210,
40/70 = 40 × 3/70 × 3 = 120/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
35/42 = 35 × 5/42 × 5 = 175/210 - Add the two like fractions:
120/210 + 175/210 = 120 + 175/210 = 295/210 - 295/210 simplified gives 59/42
- So, 40/70 + 35/42 = 59/42
In mixed form: 117/42
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