Add 40/75 and 90/21
1st number: 40/75, 2nd number: 4 6/21
40/75 + 90/21 is 506/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
40/75 = 40 × 7/75 × 7 = 280/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
90/21 = 90 × 25/21 × 25 = 2250/525 - Add the two like fractions:
280/525 + 2250/525 = 280 + 2250/525 = 2530/525 - 2530/525 simplified gives 506/105
- So, 40/75 + 90/21 = 506/105
In mixed form: 486/105
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