Factors of 4: 1, 2, 4Factors of 3: 1, 3Factors of 5: 1, 5Factors of 8: 1, 2, 4, 8Factors of 27: 1, 3, 9, 27GCF (4, 3, 5, 8, 27) = 1
5 3/10 + 22 5/10 = 27 8/10 (or 27 4/5)
(4/9) / (3/5) = (4/9) * (5/3) = 20/27
5 - 5/3 + 5/9 - 5/27 + ... = 5 + 5(-1/3)¹ + 5(-1/3)² + 5(-1/3)³ + ... The required sum is an infinite GP with initial term a = 5, and common difference r = -1/3 As |r| < 1, the sum can be found from sum = a/(1 - r) → 5 - 5/3 + 5/9 - 5/27 + ... = 5/(1 - (-1/3)) = 5/(1 + 1/3) = 5/(4/3) = 5 × 3/4 = 15/4 = 3¾
270000 = 27 x 10000 = 27 x 10^4 = 27 x 2^4 x 5^4 = 2^4 x 3^3 x 5^4
3-4, 4-2, 5-5
Factors of 4: 1, 2, 4Factors of 3: 1, 3Factors of 5: 1, 5Factors of 8: 1, 2, 4, 8Factors of 27: 1, 3, 9, 27GCF (4, 3, 5, 8, 27) = 1
5 3/10 + 22 5/10 = 27 8/10 (or 27 4/5)
32, 54, 80 / 2 = 16, 27, 40 16, 27, 40 / 2 = 8, 27, 20 8, 27, 20 / 2 = 4, 27, 10 4, 27, 10 / 2 = 2, 27, 5 2, 27, 5 / 2 = 1, 27, 5 1, 27, 5 / 3 = 1, 9, 5 1, 9, 5 / 3 = 1, 3, 5 1, 3, 5 / 3 = 1, 1, 5 1, 1, 5 / 5 = 1, 1, 1 SCM = 2^5 x 3^3 x 5 = 4,320
63/4 * 3/5 = 27/4 * 3/5 = 81/20 = 41/20
(4/9) / (3/5) = (4/9) * (5/3) = 20/27
5 - 5/3 + 5/9 - 5/27 + ... = 5 + 5(-1/3)¹ + 5(-1/3)² + 5(-1/3)³ + ... The required sum is an infinite GP with initial term a = 5, and common difference r = -1/3 As |r| < 1, the sum can be found from sum = a/(1 - r) → 5 - 5/3 + 5/9 - 5/27 + ... = 5/(1 - (-1/3)) = 5/(1 + 1/3) = 5/(4/3) = 5 × 3/4 = 15/4 = 3¾
3(5-x) = 27 15 - 3x = 27 15 - 3x + 3x = 27 + 3x 15 = 27 + 3x 15 - 27 = 27 - 27 + 3x -12 = 3x -4 = x To check 3(5- -4) ? 27 15 - -12 ? 27 15 + 12 = 27
(14/5) / (11/3) = (9/5) / (4/3) = (9/5) * (3/4) = 27/20 = 17/20
3,007 divided by 5 is 601.4 or 601 with remainder 2.
combined value = 27 points. 2+3+4+5+6+7=27
270000 = 27 x 10000 = 27 x 10^4 = 27 x 2^4 x 5^4 = 2^4 x 3^3 x 5^4