Add 4/49 and 45/40
1st number: 4/49, 2nd number: 1 5/40
4/49 + 45/40 is 473/392.
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,
4/49 = 4 × 40/49 × 40 = 160/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
45/40 = 45 × 49/40 × 49 = 2205/1960 - Add the two like fractions:
160/1960 + 2205/1960 = 160 + 2205/1960 = 2365/1960 - 2365/1960 simplified gives 473/392
- So, 4/49 + 45/40 = 473/392
In mixed form: 181/392
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