Add 5/40 and 45/42
1st number: 5/40, 2nd number: 1 3/42
5/40 + 45/42 is 67/56.
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,
5/40 = 5 × 21/40 × 21 = 105/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
45/42 = 45 × 20/42 × 20 = 900/840 - Add the two like fractions:
105/840 + 900/840 = 105 + 900/840 = 1005/840 - 1005/840 simplified gives 67/56
- So, 5/40 + 45/42 = 67/56
In mixed form: 111/56
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