7
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.
37 is bigger than 12 3.7 is bigger than 1.2 1/2 is bigger than 3/7
14: 1, 2, 7 and 1435: 1, 5, 7 and 351, 2, 7, 141, 5, 7, 35
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