Add 30/75 and 21/64
30/75 + 21/64 is 233/320.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 64 is 4800
Next, find the equivalent fraction of both fractional numbers with denominator 4800 - For the 1st fraction, since 75 × 64 = 4800,
30/75 = 30 × 64/75 × 64 = 1920/4800 - Likewise, for the 2nd fraction, since 64 × 75 = 4800,
21/64 = 21 × 75/64 × 75 = 1575/4800 - Add the two like fractions:
1920/4800 + 1575/4800 = 1920 + 1575/4800 = 3495/4800 - 3495/4800 simplified gives 233/320
- So, 30/75 + 21/64 = 233/320
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