Add 30/90 and 45/64
30/90 + 45/64 is 199/192.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 64 is 2880
Next, find the equivalent fraction of both fractional numbers with denominator 2880 - For the 1st fraction, since 90 × 32 = 2880,
30/90 = 30 × 32/90 × 32 = 960/2880 - Likewise, for the 2nd fraction, since 64 × 45 = 2880,
45/64 = 45 × 45/64 × 45 = 2025/2880 - Add the two like fractions:
960/2880 + 2025/2880 = 960 + 2025/2880 = 2985/2880 - 2985/2880 simplified gives 199/192
- So, 30/90 + 45/64 = 199/192
In mixed form: 17/192
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