Add 40/7 and 21/45
1st number: 5 5/7, 2nd number: 21/45
40/7 + 21/45 is 649/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 7 × 45 = 315,
40/7 = 40 × 45/7 × 45 = 1800/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
21/45 = 21 × 7/45 × 7 = 147/315 - Add the two like fractions:
1800/315 + 147/315 = 1800 + 147/315 = 1947/315 - 1947/315 simplified gives 649/105
- So, 40/7 + 21/45 = 649/105
In mixed form: 619/105
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