Add 10/42 and 21/45
10/42 + 21/45 is 74/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
10/42 = 10 × 15/42 × 15 = 150/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
21/45 = 21 × 14/45 × 14 = 294/630 - Add the two like fractions:
150/630 + 294/630 = 150 + 294/630 = 444/630 - 444/630 simplified gives 74/105
- So, 10/42 + 21/45 = 74/105
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