Add 75/28 and 90/35
1st number: 2 19/28, 2nd number: 2 20/35
75/28 + 90/35 is 21/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 35 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 28 × 5 = 140,
75/28 = 75 × 5/28 × 5 = 375/140 - Likewise, for the 2nd fraction, since 35 × 4 = 140,
90/35 = 90 × 4/35 × 4 = 360/140 - Add the two like fractions:
375/140 + 360/140 = 375 + 360/140 = 735/140 - 735/140 simplified gives 21/4
- So, 75/28 + 90/35 = 21/4
In mixed form: 51/4
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