Calculate the expanding number of each fraction:
Divide the LCM by the denominator of each fraction.
- 98/31 : 852,506,820 ÷ 31 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ 31 = 27,500,220
- 26/11 : 852,506,820 ÷ 11 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ 11 = 77,500,620
- 112/45 : 852,506,820 ÷ 45 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ (32 × 5) = 18,944,596
- 9/4 : 852,506,820 ÷ 4 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ 22 = 213,126,705
- 22/9 : 852,506,820 ÷ 9 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ 32 = 94,722,980
- 38/17 : 852,506,820 ÷ 17 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ 17 = 50,147,460
- 79/36 : 852,506,820 ÷ 36 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ (22 × 32) = 23,680,745
- 71/34 : 852,506,820 ÷ 34 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ (2 × 17) = 25,073,730
- 98/43 : 852,506,820 ÷ 43 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ 43 = 19,825,740
- 90/43 : 852,506,820 ÷ 43 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ 43 = 19,825,740
- 41/18 : 852,506,820 ÷ 18 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ (2 × 32) = 47,361,490
- 41/22 : 852,506,820 ÷ 22 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ (2 × 11) = 38,750,310
- 69/38 : 852,506,820 ÷ 38 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ (2 × 19) = 22,434,390
- 13/9 : 852,506,820 ÷ 9 = (22 × 32 × 5 × 11 × 17 × 19 × 31 × 43) ÷ 32 = 94,722,980
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:
- 98/31 = - (27,500,220 × 98)/(27,500,220 × 31) = - 2,695,021,560/852,506,820
- 26/11 = - (77,500,620 × 26)/(77,500,620 × 11) = - 2,015,016,120/852,506,820
- 112/45 = - (18,944,596 × 112)/(18,944,596 × 45) = - 2,121,794,752/852,506,820
- 9/4 = - (213,126,705 × 9)/(213,126,705 × 4) = - 1,918,140,345/852,506,820
- 22/9 = - (94,722,980 × 22)/(94,722,980 × 9) = - 2,083,905,560/852,506,820
- 38/17 = - (50,147,460 × 38)/(50,147,460 × 17) = - 1,905,603,480/852,506,820
- 79/36 = - (23,680,745 × 79)/(23,680,745 × 36) = - 1,870,778,855/852,506,820
- 71/34 = - (25,073,730 × 71)/(25,073,730 × 34) = - 1,780,234,830/852,506,820
- 98/43 = - (19,825,740 × 98)/(19,825,740 × 43) = - 1,942,922,520/852,506,820
- 90/43 = - (19,825,740 × 90)/(19,825,740 × 43) = - 1,784,316,600/852,506,820
- 41/18 = - (47,361,490 × 41)/(47,361,490 × 18) = - 1,941,821,090/852,506,820
- 41/22 = - (38,750,310 × 41)/(38,750,310 × 22) = - 1,588,762,710/852,506,820
- 69/38 = - (22,434,390 × 69)/(22,434,390 × 38) = - 1,547,972,910/852,506,820
- 13/9 = - (94,722,980 × 13)/(94,722,980 × 9) = - 1,231,398,740/852,506,820