Add 40/42 and 8/30
40/42 + 8/30 is 128/105.
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,
40/42 = 40 × 5/42 × 5 = 200/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
8/30 = 8 × 7/30 × 7 = 56/210 - Add the two like fractions:
200/210 + 56/210 = 200 + 56/210 = 256/210 - 256/210 simplified gives 128/105
- So, 40/42 + 8/30 = 128/105
In mixed form: 123/105
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