Add 40/75 and 49/40
1st number: 40/75, 2nd number: 1 9/40
40/75 + 49/40 is 211/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
49/40 = 49 × 15/40 × 15 = 735/600 - Add the two like fractions:
320/600 + 735/600 = 320 + 735/600 = 1055/600 - 1055/600 simplified gives 211/120
- So, 40/75 + 49/40 = 211/120
In mixed form: 191/120
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