Add 84/49 and 49/40
1st number: 1 35/49, 2nd number: 1 9/40
84/49 + 49/40 is 823/280.
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,
84/49 = 84 × 40/49 × 40 = 3360/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
49/40 = 49 × 49/40 × 49 = 2401/1960 - Add the two like fractions:
3360/1960 + 2401/1960 = 3360 + 2401/1960 = 5761/1960 - 5761/1960 simplified gives 823/280
- So, 84/49 + 49/40 = 823/280
In mixed form: 2263/280
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