Add 28/5 and 40/42
1st number: 5 3/5, 2nd number: 40/42
28/5 + 40/42 is 688/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 5 × 42 = 210,
28/5 = 28 × 42/5 × 42 = 1176/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
1176/210 + 200/210 = 1176 + 200/210 = 1376/210 - 1376/210 simplified gives 688/105
- So, 28/5 + 40/42 = 688/105
In mixed form: 658/105
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