Question

9) Order the fractions from least to greatest. 2 4 , 4 5 , 7 10 , 2 3 A) 2 4 , 7 10 , 2 3 , 4 5 B) 7 10 , 2 4 , 2 3 , 4 5 C) 2 4 , 2 3 , 7 10 , 4 5 D) 2 4 , 7 10 , 4 5 , 2 3

Answer 1

Answer:

C) $\frac{2}{4}, \frac{2}{3}, \frac{7}{10}, \frac{4}{5}$

Step-by-step explanation:

Given fractions:

$\frac{2}{4}, \frac{4}{5}, \frac{7}{10},\frac{2}{3}$

To arrange the fractions from least to greatest.

Solution:

In order to arrange the fractions from least to greatest, we need to make the denominators common by taking LCD.

LCD of 4,5,10,3 can be found using their multiples.

4= 4,8,12,16,20,24,28,32,36,40,.........60

5= 5,10,15,20,25,30,.........60

10= 10,20,30,40,50,60

3= 3,6,9..........................60

So, 60 is the LCD.

Making the denominators common by multiplying same numbers to numerator and denominator.

$\frac{2}{4}=\frac{2\times 15}{4\times 15}=\frac{30}{60}$

$\frac{4}{5}=\frac{4\times12}{5\times 12}=\frac{48}{60}$

$\frac{7}{10}=\frac{7\times 6}{10\times 6}=\frac{42}{60}$

$\frac{2}{3}=\frac{2\times 20}{3\times 20}=\frac{40}{60}$

Comparing the numerators we can arrange the fractions.

$\frac{2}{4}, \frac{2}{3}, \frac{7}{10}, \frac{4}{5}$