Add 42/40 and 49/54
1st number: 1 2/40, 2nd number: 49/54
42/40 + 49/54 is 1057/540.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 54 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
42/40 = 42 × 27/40 × 27 = 1134/1080 - Likewise, for the 2nd fraction, since 54 × 20 = 1080,
49/54 = 49 × 20/54 × 20 = 980/1080 - Add the two like fractions:
1134/1080 + 980/1080 = 1134 + 980/1080 = 2114/1080 - 2114/1080 simplified gives 1057/540
- So, 42/40 + 49/54 = 1057/540
In mixed form: 1517/540
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