Add 54/49 and 24/40
1st number: 1 5/49, 2nd number: 24/40
54/49 + 24/40 is 417/245.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
54/49 = 54 × 40/49 × 40 = 2160/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
24/40 = 24 × 49/40 × 49 = 1176/1960 - Add the two like fractions:
2160/1960 + 1176/1960 = 2160 + 1176/1960 = 3336/1960 - 3336/1960 simplified gives 417/245
- So, 54/49 + 24/40 = 417/245
In mixed form: 1172/245
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