Add 40/49 and 25/40
40/49 + 25/40 is 565/392.
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,
40/49 = 40 × 40/49 × 40 = 1600/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
25/40 = 25 × 49/40 × 49 = 1225/1960 - Add the two like fractions:
1600/1960 + 1225/1960 = 1600 + 1225/1960 = 2825/1960 - 2825/1960 simplified gives 565/392
- So, 40/49 + 25/40 = 565/392
In mixed form: 1173/392
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