2/7 = 10/35 1/5 = 7/35 10/35 + 7/35 = 17/35
1/5 = 7/35 2/7 = 10/35 7/35 + 10/35 = 17/35
The factors of 35 are 1, 5, 7, and 35. There are only two factors with a difference of 2; they are 5 and 7. 1 and 5 have a difference of 4. 1 and 7 have a difference of 6. 1 and 35 have a difference of 34. 5 and 7 have a difference of 2. 5 and 35 have a difference of 30. 7 and 35 have a difference of 28.
14: 1, 2, 7 and 1435: 1, 5, 7 and 351, 2, 7, 141, 5, 7, 35
37 is bigger than 12 3.7 is bigger than 1.2 1/2 is bigger than 3/7
1, 2, 7, 14 1, 5, 7, 35
1, 2, 7, 14 1, 5, 7, 35
1, 2, 7, 14 1, 5, 7, 35
Example: 1/5 + 2/7 Find the LCM of the denominators. The LCM of 5 and 7 is 35. Convert the original fractions to equivalent ones. 1/5 = 7/35 2/7 = 10/35 Add. 7/35 + 10/35 = 17/35 1/5 + 2/7 = 17/35
7/5 = 1.4 = 1 + 0.4 5/7 = 0.714 = 1 - 0.286 so 5/7 is closer as 0.286 is smaller than 0.4 ----------------------------------------------------- Find the mean average of 7/5 and 5/7 ; now find between which fraction and the mean average the number 1 lies - this will tell you which is closer to 1. (7/5 + 5/7) ÷ 2 = ((7×7)/(5×7) + (5×5)/(7×5)) × 1/2 = (49/35 + 25/35) × 1/2 = 74/35 × 1/2 = 37/35 = 1 2/35 Note: 7/5 = 1 2/5. Therefore 5/7 < 1 2/35 < 1 2/5 → 5/7 < 1 < 1 2/35 (mean) < 1 /25 (7/5) Thus 5/7 is closer to 1 than 7/5
The factors of 35 are 1, 5, 7, and 35. The factors of 14 are 1, 2, 7, and 14. The common factors of 35 and 14 are 1 and 7, and the GCF is 7.
By converting them to equivalent fractions with a common denominator. 1/5 = 7/35 1/7 = 5/35 1/5 - 1/7 = 2/35