Add 35/49 and 35/64
35/49 + 35/64 is 565/448.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 64 is 3136
Next, find the equivalent fraction of both fractional numbers with denominator 3136 - For the 1st fraction, since 49 × 64 = 3136,
35/49 = 35 × 64/49 × 64 = 2240/3136 - Likewise, for the 2nd fraction, since 64 × 49 = 3136,
35/64 = 35 × 49/64 × 49 = 1715/3136 - Add the two like fractions:
2240/3136 + 1715/3136 = 2240 + 1715/3136 = 3955/3136 - 3955/3136 simplified gives 565/448
- So, 35/49 + 35/64 = 565/448
In mixed form: 1117/448
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