Add 30/21 and 49/40
1st number: 1 9/21, 2nd number: 1 9/40
30/21 + 49/40 is 743/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 21 × 40 = 840,
30/21 = 30 × 40/21 × 40 = 1200/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
49/40 = 49 × 21/40 × 21 = 1029/840 - Add the two like fractions:
1200/840 + 1029/840 = 1200 + 1029/840 = 2229/840 - 2229/840 simplified gives 743/280
- So, 30/21 + 49/40 = 743/280
In mixed form: 2183/280
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