Add 35/70 and 40/42
35/70 + 40/42 is 61/42.
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,
35/70 = 35 × 3/70 × 3 = 105/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
105/210 + 200/210 = 105 + 200/210 = 305/210 - 305/210 simplified gives 61/42
- So, 35/70 + 40/42 = 61/42
In mixed form: 119/42
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