Add 40/21 and 96/45
1st number: 1 19/21, 2nd number: 2 6/45
40/21 + 96/45 is 424/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
40/21 = 40 × 15/21 × 15 = 600/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
96/45 = 96 × 7/45 × 7 = 672/315 - Add the two like fractions:
600/315 + 672/315 = 600 + 672/315 = 1272/315 - 1272/315 simplified gives 424/105
- So, 40/21 + 96/45 = 424/105
In mixed form: 44/105
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