Add 30/90 and 30/7
1st number: 30/90, 2nd number: 4 2/7
30/90 + 30/7 is 97/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 7 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 90 × 7 = 630,
30/90 = 30 × 7/90 × 7 = 210/630 - Likewise, for the 2nd fraction, since 7 × 90 = 630,
30/7 = 30 × 90/7 × 90 = 2700/630 - Add the two like fractions:
210/630 + 2700/630 = 210 + 2700/630 = 2910/630 - 2910/630 simplified gives 97/21
- So, 30/90 + 30/7 = 97/21
In mixed form: 413/21
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