Add 30/49 and 24/40
30/49 + 24/40 is 297/245.
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,
30/49 = 30 × 40/49 × 40 = 1200/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
24/40 = 24 × 49/40 × 49 = 1176/1960 - Add the two like fractions:
1200/1960 + 1176/1960 = 1200 + 1176/1960 = 2376/1960 - 2376/1960 simplified gives 297/245
- So, 30/49 + 24/40 = 297/245
In mixed form: 152/245
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