Add 84/30 and 45/28
1st number: 2 24/30, 2nd number: 1 17/28
84/30 + 45/28 is 617/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
84/30 = 84 × 14/30 × 14 = 1176/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
45/28 = 45 × 15/28 × 15 = 675/420 - Add the two like fractions:
1176/420 + 675/420 = 1176 + 675/420 = 1851/420 - 1851/420 simplified gives 617/140
- So, 84/30 + 45/28 = 617/140
In mixed form: 457/140
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