Add 40/42 and 54/70
40/42 + 54/70 is 181/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 70 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Likewise, for the 2nd fraction, since 70 × 3 = 210,
54/70 = 54 × 3/70 × 3 = 162/210 - Add the two like fractions:
200/210 + 162/210 = 200 + 162/210 = 362/210 - 362/210 simplified gives 181/105
- So, 40/42 + 54/70 = 181/105
In mixed form: 176/105
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