Add 30/45 and 21/70
30/45 + 21/70 is 29/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 70 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
30/45 = 30 × 14/45 × 14 = 420/630 - Likewise, for the 2nd fraction, since 70 × 9 = 630,
21/70 = 21 × 9/70 × 9 = 189/630 - Add the two like fractions:
420/630 + 189/630 = 420 + 189/630 = 609/630 - 609/630 simplified gives 29/30
- So, 30/45 + 21/70 = 29/30
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