Add 40/45 and 49/42
1st number: 40/45, 2nd number: 1 7/42
40/45 + 49/42 is 37/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 42 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
40/45 = 40 × 14/45 × 14 = 560/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
49/42 = 49 × 15/42 × 15 = 735/630 - Add the two like fractions:
560/630 + 735/630 = 560 + 735/630 = 1295/630 - 1295/630 simplified gives 37/18
- So, 40/45 + 49/42 = 37/18
In mixed form: 21/18
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