Add 48/70 and 40/42
48/70 + 40/42 is 172/105.
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,
48/70 = 48 × 3/70 × 3 = 144/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
144/210 + 200/210 = 144 + 200/210 = 344/210 - 344/210 simplified gives 172/105
- So, 48/70 + 40/42 = 172/105
In mixed form: 167/105
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