Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 21/17 : 11,730,008,160 ÷ 17 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ 17 = 690,000,480
- 17/10 : 11,730,008,160 ÷ 10 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ (2 × 5) = 1,173,000,816
- 22/13 : 11,730,008,160 ÷ 13 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ 13 = 902,308,320
- 68/41 : 11,730,008,160 ÷ 41 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ 41 = 286,097,760
- 13/6 : 11,730,008,160 ÷ 6 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ (2 × 3) = 1,955,001,360
- 71/32 : 11,730,008,160 ÷ 32 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ 25 = 366,562,755
- 103/29 : 11,730,008,160 ÷ 29 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ 29 = 404,483,040
- 34/9 : 11,730,008,160 ÷ 9 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ 32 = 1,303,334,240
- 125/31 : 11,730,008,160 ÷ 31 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ 31 = 378,387,360
- 279/41 : 11,730,008,160 ÷ 41 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ 41 = 286,097,760
- 353/32 : 11,730,008,160 ÷ 32 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ 25 = 366,562,755
- 259/18 : 11,730,008,160 ÷ 18 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ (2 × 32) = 651,667,120
- 563/31 : 11,730,008,160 ÷ 31 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ 31 = 378,387,360
- 1 : 11,730,008,160 ÷ 1 = (25 × 32 × 5 × 13 × 17 × 29 × 31 × 41) ÷ 1 = 11,730,008,160
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:
- 21/17 = - (690,000,480 × 21)/(690,000,480 × 17) = - 14,490,010,080/11,730,008,160
- 17/10 = - (1,173,000,816 × 17)/(1,173,000,816 × 10) = - 19,941,013,872/11,730,008,160
- 22/13 = - (902,308,320 × 22)/(902,308,320 × 13) = - 19,850,783,040/11,730,008,160
- 68/41 = - (286,097,760 × 68)/(286,097,760 × 41) = - 19,454,647,680/11,730,008,160
- 13/6 = - (1,955,001,360 × 13)/(1,955,001,360 × 6) = - 25,415,017,680/11,730,008,160
- 71/32 = - (366,562,755 × 71)/(366,562,755 × 32) = - 26,025,955,605/11,730,008,160
- 103/29 = - (404,483,040 × 103)/(404,483,040 × 29) = - 41,661,753,120/11,730,008,160
- 34/9 = - (1,303,334,240 × 34)/(1,303,334,240 × 9) = - 44,313,364,160/11,730,008,160
- 125/31 = - (378,387,360 × 125)/(378,387,360 × 31) = - 47,298,420,000/11,730,008,160
- 279/41 = - (286,097,760 × 279)/(286,097,760 × 41) = - 79,821,275,040/11,730,008,160
- 353/32 = - (366,562,755 × 353)/(366,562,755 × 32) = - 129,396,652,515/11,730,008,160
- 259/18 = - (651,667,120 × 259)/(651,667,120 × 18) = - 168,781,784,080/11,730,008,160
- 563/31 = - (378,387,360 × 563)/(378,387,360 × 31) = - 213,032,083,680/11,730,008,160
- 1/1 = - (11,730,008,160 × 1)/(11,730,008,160 × 1) = - 11,730,008,160/11,730,008,160