Add 30/42 and 9/40
30/42 + 9/40 is 263/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
30/42 = 30 × 20/42 × 20 = 600/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
9/40 = 9 × 21/40 × 21 = 189/840 - Add the two like fractions:
600/840 + 189/840 = 600 + 189/840 = 789/840 - 789/840 simplified gives 263/280
- So, 30/42 + 9/40 = 263/280
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