Add 45/40 and 40/49
1st number: 1 5/40, 2nd number: 40/49
45/40 + 40/49 is 761/392.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
45/40 = 45 × 49/40 × 49 = 2205/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
40/49 = 40 × 40/49 × 40 = 1600/1960 - Add the two like fractions:
2205/1960 + 1600/1960 = 2205 + 1600/1960 = 3805/1960 - 3805/1960 simplified gives 761/392
- So, 45/40 + 40/49 = 761/392
In mixed form: 1369/392
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