Add 36/42 and 42/45
36/42 + 42/45 is 188/105.
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,
36/42 = 36 × 15/42 × 15 = 540/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
42/45 = 42 × 14/45 × 14 = 588/630 - Add the two like fractions:
540/630 + 588/630 = 540 + 588/630 = 1128/630 - 1128/630 simplified gives 188/105
- So, 36/42 + 42/45 = 188/105
In mixed form: 183/105
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