Add 30/35 and 45/64
30/35 + 45/64 is 699/448.
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,
30/35 = 30 × 64/35 × 64 = 1920/2240 - Likewise, for the 2nd fraction, since 64 × 35 = 2240,
45/64 = 45 × 35/64 × 35 = 1575/2240 - Add the two like fractions:
1920/2240 + 1575/2240 = 1920 + 1575/2240 = 3495/2240 - 3495/2240 simplified gives 699/448
- So, 30/35 + 45/64 = 699/448
In mixed form: 1251/448
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