Question

Write the following fractions in Descending order: 16/90, 8/3, 12/15, 4/5, 1/6 Please give answers with step by step explanation

Answer 1

Question

Write the following fractions in descending order ⇒ $\sf \frac{16}{90}, \frac{8}{3},\frac{12}{15},\frac{4}{5},\frac{1}{6}$.

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Answer

Step 1: Find the LCM of the denominators.

$\begin{array}{r | l} 2 &90,3,15,5,6 \\ \cline{2-2} 3 & 45,3,15,5,3 \\ \cline{2-2} 3&15,1,3,5,1 \\ \cline{2-2} 5 & 5,1,1,5,1 \\ \cline{2-2} & 1,1,1,1,1\\ \end{array}$

LCM of 90, 3, 15, 5 and 6 is 2×3×3×5 = 90

Step 2: Make the denominators equal.

$\sf \frac{16\times 1 }{90\times 1} = \frac{16}{90} \\\\ \frac{8\times 30}{3\times 30} = \frac{240}{90} \\\\ \frac{12\times 2}{15\times2} = \frac{24}{90} \\\\\frac{4\times 18}{5\times 18} = \frac{72}{90} \\\\\frac{1\times 15}{6\times 15} = \frac{15}{90}$

Step 3: Arrange the fractions with the help of numerators.

$\sf \frac{240}{90}<\frac{72}{90}<\frac{24}{90}<\frac{16}{90} <\frac{15}{90}$

$\sf \frac{8}{3}<\frac{4}{5}<\frac{12}{15}<\frac{16}{90}<\frac{1}{6}$

$\bf \therefore \frac{16}{90}, \frac{8}{3},\frac{12}{15},\frac{4}{5},\frac{1}{6} \ in \ descending \ order \ is => \sf \frac{8}{3}<\frac{4}{5}<\frac{12}{15}<\frac{16}{90}<\frac{1}{6}$.

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Additional Information

What is fraction?

Fraction is known to be the part of a whole. A fraction mainly consists of two main parts. The numerator part and the denominator part. The numerator is usually up and the denominator is down. It is basically something like this ⇒ $\sf \frac{Numerator}{Denominator}$.

What is ascending order?

When we arrange a set of numbers from small to big we arrange them in an ascending order.

What is descending order?

When we arrange a set of numbers from big to small we arrange them in a descending order.

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