7/12, 3/4, 4/7, 5/8, 4/7
Answer:
Order from Least to Greatest
4/7 = 4/7 < 7/12 < 5/8 < 3/4
Showing Work
Rewriting as fractions if necessary:
7/12, 3/4, 4/7, 5/8, 4/7
The least common denominator (LCD) is: 168.
Rewriting as equivalent fractions with the LCD:
98/168, 126/168, 96/168, 105/168, 96/168
Ordering these fractions by the numerator in order from least to greatest:
96/168 = 96/168 < 98/168 < 105/168 < 126/168
Therefore, your input in order from least to greatest is:
Answer =======> 4/7 = 4/7 < 7/12 < 5/8 < 3/4
B): 1.35, 5/4, 1.349, 6/5, 7/6
Number of inputs ====> 5
Answer => Ascending Order: Least to Greatest =====> 7/6, 6/5, 5/4, 1.349, 1.35
C): 0.819, 0.8199, 81/100, 815/1000
Number of Inputs ======> 4
Answer ==> Ascending order (Least to Greatest ====> 81/100, 815/1000, 0.819, 0.8199
D): 3 4/7, 245/70, 3.572, 90/29
Number of Inputs: 4
Answer ==> Ascending Order(Least to Greatest) ==> 90/29, 245/70, 3.572, 3 4/7
Hope that helps!!!! : )
![54, a_2, a_3, 128 \\ \\ a_1=54 \\ a_4=128 \\ \\ a_n=a_1 \times r^{n-1} \\ a_4=a_1 \times r^3 \\ 128=54 \times r^3 \\ \frac{128}{54}=r^3 \\ \frac{128 \div 2}{54 \div 2}=r^3 \\ \frac{64}{27}=r^3 \\ \sqrt[3]{\frac{64}{27}}=\sqrt[3]{r^3} \\ \frac{\sqrt[3]{64}}{\sqrt[3]{27}}=r \\ r=\frac{4}{3}](https://tex.z-dn.net/?f=54%2C%20a_2%2C%20a_3%2C%20128%20%5C%5C%20%5C%5C%0Aa_1%3D54%20%5C%5C%0Aa_4%3D128%20%5C%5C%20%5C%5C%0Aa_n%3Da_1%20%5Ctimes%20r%5E%7Bn-1%7D%20%5C%5C%0Aa_4%3Da_1%20%5Ctimes%20r%5E3%20%5C%5C%0A128%3D54%20%5Ctimes%20r%5E3%20%5C%5C%0A%5Cfrac%7B128%7D%7B54%7D%3Dr%5E3%20%5C%5C%20%5Cfrac%7B128%20%5Cdiv%202%7D%7B54%20%5Cdiv%202%7D%3Dr%5E3%20%5C%5C%0A%5Cfrac%7B64%7D%7B27%7D%3Dr%5E3%20%5C%5C%0A%5Csqrt%5B3%5D%7B%5Cfrac%7B64%7D%7B27%7D%7D%3D%5Csqrt%5B3%5D%7Br%5E3%7D%20%5C%5C%0A%5Cfrac%7B%5Csqrt%5B3%5D%7B64%7D%7D%7B%5Csqrt%5B3%5D%7B27%7D%7D%3Dr%20%5C%5C%0Ar%3D%5Cfrac%7B4%7D%7B3%7D)
