Add 40/10 and 49/42
1st number: 4 0/10, 2nd number: 1 7/42
40/10 + 49/42 is 31/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
40/10 = 40 × 21/10 × 21 = 840/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
49/42 = 49 × 5/42 × 5 = 245/210 - Add the two like fractions:
840/210 + 245/210 = 840 + 245/210 = 1085/210 - 1085/210 simplified gives 31/6
- So, 40/10 + 49/42 = 31/6
In mixed form: 51/6
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