Add 21/35 and 63/64
21/35 + 63/64 is 507/320.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 64 is 2240
Next, find the equivalent fraction of both fractional numbers with denominator 2240 - For the 1st fraction, since 35 × 64 = 2240,
21/35 = 21 × 64/35 × 64 = 1344/2240 - Likewise, for the 2nd fraction, since 64 × 35 = 2240,
63/64 = 63 × 35/64 × 35 = 2205/2240 - Add the two like fractions:
1344/2240 + 2205/2240 = 1344 + 2205/2240 = 3549/2240 - 3549/2240 simplified gives 507/320
- So, 21/35 + 63/64 = 507/320
In mixed form: 1187/320
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