Add 24/49 and 75/40
1st number: 24/49, 2nd number: 1 35/40
24/49 + 75/40 is 927/392.
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,
24/49 = 24 × 40/49 × 40 = 960/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
75/40 = 75 × 49/40 × 49 = 3675/1960 - Add the two like fractions:
960/1960 + 3675/1960 = 960 + 3675/1960 = 4635/1960 - 4635/1960 simplified gives 927/392
- So, 24/49 + 75/40 = 927/392
In mixed form: 2143/392
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