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Add 30/36 and 21/40

30/36 + 21/40 is 163/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 36 and 40 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 36 × 10 = 360,
    30/36 = 30 × 10/36 × 10 = 300/360
  3. Likewise, for the 2nd fraction, since 40 × 9 = 360,
    21/40 = 21 × 9/40 × 9 = 189/360
  4. Add the two like fractions:
    300/360 + 189/360 = 300 + 189/360 = 489/360
  5. 489/360 simplified gives 163/120
  6. So, 30/36 + 21/40 = 163/120
    In mixed form: 143/120

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