Add 40/49 and 75/80
40/49 + 75/80 is 1375/784.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 80 is 3920
Next, find the equivalent fraction of both fractional numbers with denominator 3920 - For the 1st fraction, since 49 × 80 = 3920,
40/49 = 40 × 80/49 × 80 = 3200/3920 - Likewise, for the 2nd fraction, since 80 × 49 = 3920,
75/80 = 75 × 49/80 × 49 = 3675/3920 - Add the two like fractions:
3200/3920 + 3675/3920 = 3200 + 3675/3920 = 6875/3920 - 6875/3920 simplified gives 1375/784
- So, 40/49 + 75/80 = 1375/784
In mixed form: 1591/784
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