Add 30/63 and 35/40
30/63 + 35/40 is 227/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 40 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 63 × 40 = 2520,
30/63 = 30 × 40/63 × 40 = 1200/2520 - Likewise, for the 2nd fraction, since 40 × 63 = 2520,
35/40 = 35 × 63/40 × 63 = 2205/2520 - Add the two like fractions:
1200/2520 + 2205/2520 = 1200 + 2205/2520 = 3405/2520 - 3405/2520 simplified gives 227/168
- So, 30/63 + 35/40 = 227/168
In mixed form: 159/168
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