Add 30/90 and 45/56
30/90 + 45/56 is 191/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 56 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 90 × 28 = 2520,
30/90 = 30 × 28/90 × 28 = 840/2520 - Likewise, for the 2nd fraction, since 56 × 45 = 2520,
45/56 = 45 × 45/56 × 45 = 2025/2520 - Add the two like fractions:
840/2520 + 2025/2520 = 840 + 2025/2520 = 2865/2520 - 2865/2520 simplified gives 191/168
- So, 30/90 + 45/56 = 191/168
In mixed form: 123/168
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