Add 49/40 and 7/42
1st number: 1 9/40, 2nd number: 7/42
49/40 + 7/42 is 167/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 42 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
49/40 = 49 × 21/40 × 21 = 1029/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
7/42 = 7 × 20/42 × 20 = 140/840 - Add the two like fractions:
1029/840 + 140/840 = 1029 + 140/840 = 1169/840 - 1169/840 simplified gives 167/120
- So, 49/40 + 7/42 = 167/120
In mixed form: 147/120
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