Add 30/7 and 9/40
1st number: 4 2/7, 2nd number: 9/40
30/7 + 9/40 is 1263/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 7 × 40 = 280,
30/7 = 30 × 40/7 × 40 = 1200/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
9/40 = 9 × 7/40 × 7 = 63/280 - Add the two like fractions:
1200/280 + 63/280 = 1200 + 63/280 = 1263/280 - So, 30/7 + 9/40 = 1263/280
In mixed form: 4143/280
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