Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 51/2 : 1,022,876,400 ÷ 2 = (24 × 3 × 52 × 7 × 13 × 17 × 19 × 29) ÷ 2 = 511,438,200
- 392/17 : 1,022,876,400 ÷ 17 = (24 × 3 × 52 × 7 × 13 × 17 × 19 × 29) ÷ 17 = 60,169,200
- 126/19 : 1,022,876,400 ÷ 19 = (24 × 3 × 52 × 7 × 13 × 17 × 19 × 29) ÷ 19 = 53,835,600
- 97/17 : 1,022,876,400 ÷ 17 = (24 × 3 × 52 × 7 × 13 × 17 × 19 × 29) ÷ 17 = 60,169,200
- 65/16 : 1,022,876,400 ÷ 16 = (24 × 3 × 52 × 7 × 13 × 17 × 19 × 29) ÷ 24 = 63,929,775
- 11/3 : 1,022,876,400 ÷ 3 = (24 × 3 × 52 × 7 × 13 × 17 × 19 × 29) ÷ 3 = 340,958,800
- 55/21 : 1,022,876,400 ÷ 21 = (24 × 3 × 52 × 7 × 13 × 17 × 19 × 29) ÷ (3 × 7) = 48,708,400
- 79/29 : 1,022,876,400 ÷ 29 = (24 × 3 × 52 × 7 × 13 × 17 × 19 × 29) ÷ 29 = 35,271,600
- 41/25 : 1,022,876,400 ÷ 25 = (24 × 3 × 52 × 7 × 13 × 17 × 19 × 29) ÷ 52 = 40,915,056
- 31/19 : 1,022,876,400 ÷ 19 = (24 × 3 × 52 × 7 × 13 × 17 × 19 × 29) ÷ 19 = 53,835,600
- 33/25 : 1,022,876,400 ÷ 25 = (24 × 3 × 52 × 7 × 13 × 17 × 19 × 29) ÷ 52 = 40,915,056
- 18/13 : 1,022,876,400 ÷ 13 = (24 × 3 × 52 × 7 × 13 × 17 × 19 × 29) ÷ 13 = 78,682,800
Make the fractions' denominators the same:
Expand each fraction: multiply both its numerator and denominator by its corresponding expanding number, calculated at the step 2, above.
This way all the fractions will have the same denominator:
- 51/2 = - (511,438,200 × 51)/(511,438,200 × 2) = - 26,083,348,200/1,022,876,400
- 392/17 = - (60,169,200 × 392)/(60,169,200 × 17) = - 23,586,326,400/1,022,876,400
- 126/19 = - (53,835,600 × 126)/(53,835,600 × 19) = - 6,783,285,600/1,022,876,400
- 97/17 = - (60,169,200 × 97)/(60,169,200 × 17) = - 5,836,412,400/1,022,876,400
- 65/16 = - (63,929,775 × 65)/(63,929,775 × 16) = - 4,155,435,375/1,022,876,400
- 11/3 = - (340,958,800 × 11)/(340,958,800 × 3) = - 3,750,546,800/1,022,876,400
- 55/21 = - (48,708,400 × 55)/(48,708,400 × 21) = - 2,678,962,000/1,022,876,400
- 79/29 = - (35,271,600 × 79)/(35,271,600 × 29) = - 2,786,456,400/1,022,876,400
- 41/25 = - (40,915,056 × 41)/(40,915,056 × 25) = - 1,677,517,296/1,022,876,400
- 31/19 = - (53,835,600 × 31)/(53,835,600 × 19) = - 1,668,903,600/1,022,876,400
- 33/25 = - (40,915,056 × 33)/(40,915,056 × 25) = - 1,350,196,848/1,022,876,400
- 18/13 = - (78,682,800 × 18)/(78,682,800 × 13) = - 1,416,290,400/1,022,876,400