Question

arrange the following fractions in ascending order 3/4,5/6,7/9,11/12

Answer 1

Answer:

Hii

Step-by-step explanation:

First LCM of 4;6;9;12 =36

3*9/4*9; 5*6/6*6; 7*4/9*4; 11*3/12*3

27/36; 30/36; 28/36; 33/36

27/36<28/36<30/36<33/36

3/4<7/9<5/6<11/12

Answer 2

Given: Four fractions-  $\frac{3}{4}, \frac{5}{6}, \frac{7}{9} \ and \ \frac{11}{12}$

To find: Ascending order of the given fractions

Solution:

The given fractions have different denominators. To arrange them in ascending order, first we need to make their denominators same, so that we can compare them.

LCM of their denominators 4, 6, 9 and 12 = 36

To convert the fractions with same denominator, we have

$\frac{3}{4} = \frac{3}{4}$ × $\frac{9}{9} = \frac{27}{36}$

$\frac{5}{6} = \frac{5}{6}$ × $\frac{6}{6} = \frac{30}{36}$

$\frac{7}{9} = \frac{7}{9}$ × $\frac{4}{4} = \frac{28}{36}$ and,

$\frac{11}{12} = \frac{11}{12}$ × $\frac{3}{3} = \frac{33}{36}$

Now, denominators of all the fractions are same. So, we can compare their numerators to determine their order.

We get, 27 < 28 < 30 < 33

i.e., $\frac{27}{36} < \frac{28}{36} < \frac{30}{36} < \frac{33}{36}$  or  $\frac{3}{4} < \frac{7}{9} < \frac{5}{6} < \frac{11}{12}$

Hence, ascending arrangement of the given fractions is:

$\frac{3}{4} < \frac{7}{9} < \frac{5}{6} < \frac{11}{12}$