Add 6/45 and 40/21
1st number: 6/45, 2nd number: 1 19/21
6/45 + 40/21 is 214/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
6/45 = 6 × 7/45 × 7 = 42/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
40/21 = 40 × 15/21 × 15 = 600/315 - Add the two like fractions:
42/315 + 600/315 = 42 + 600/315 = 642/315 - 642/315 simplified gives 214/105
- So, 6/45 + 40/21 = 214/105
In mixed form: 24/105
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