Add 21/45 and 40/35
1st number: 21/45, 2nd number: 1 5/35
21/45 + 40/35 is 169/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
21/45 = 21 × 7/45 × 7 = 147/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
40/35 = 40 × 9/35 × 9 = 360/315 - Add the two like fractions:
147/315 + 360/315 = 147 + 360/315 = 507/315 - 507/315 simplified gives 169/105
- So, 21/45 + 40/35 = 169/105
In mixed form: 164/105
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