Question

Arrange 4/5, 7/8,6/7, 5/6 is the ascending order

Answer 1

Answer:

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Answer 2

Concept: The unlike fractions are those fractions that have different denominators. Here, the values of the fractional denominators vary. Fractions like 2/3, 4/9, 6/67, and 9/89 are examples.

Given: unlike fractions $\frac{4}{5} , \frac{7}{8} , \frac{6}{7}, \frac{5}{6}$

To find: the ascending order

Solution:

First of all, all the unlike fractions will be converted into like fractions.

To convert unlike fractions into like fractions, we will make all the fractions equivalent by taking the LCM of the denominators.

Prime factors of 5 will be 5 × 1

Prime factors of 8 will be 2 × 2 × 2

Prime factors of 7 will be 7 × 1

Prime factors of 6 will be 2 × 3

Hence the LCM of 5, 8, 7, 6 is 840

now,

$\frac{4}{5} * \frac{168}{168} = \frac{672}{840} \\\\\frac{7}{8} * \frac{105}{105} = \frac{735}{840} \\\\\frac{6}{7} * \frac{120}{120} = \frac{720}{840} \\\\\frac{5}{6} * \frac{140}{140} = \frac{700}{840}$

Arrange the like fractions in ascending order,

$\frac{672}{840}$ < $\frac{700}{840}$ < $\frac{720}{840}$ < $\frac{735}{840}$

$\frac{4}{5}$ < $\frac{5}{6}$ < $\frac{6}{7}$ < $\frac{7}{8}$

Hence, the fractions after arranging in ascending order are $\frac{4}{5}$ < $\frac{5}{6}$ < $\frac{6}{7}$ < $\frac{7}{8}$.

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