Add 45/40 and 30/42
1st number: 1 5/40, 2nd number: 30/42
45/40 + 30/42 is 103/56.
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,
45/40 = 45 × 21/40 × 21 = 945/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
30/42 = 30 × 20/42 × 20 = 600/840 - Add the two like fractions:
945/840 + 600/840 = 945 + 600/840 = 1545/840 - 1545/840 simplified gives 103/56
- So, 45/40 + 30/42 = 103/56
In mixed form: 147/56
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