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Explanation:

Question 33

Step1: Factorize denominators

Factorize \(10 = 2\times5\) and \(8 = 2^3\).

Step2: Find LCD

LCD is the product of highest powers of all prime factors. So, \(2^3\times5=40\).

Step1: Recall multiples of 10

Multiples of 10 are obtained by adding 10 to the previous multiple.

Step2: Calculate next multiples

After 60, next multiple: \(60 + 10 = 70\); then \(70+10 = 80\); then \(80 + 10=90\).

Step1: Recall rule for like fractions

For fractions with the same denominator, the fraction with smaller numerator is smaller.

Step2: Order the fractions

Given \(\frac{3}{7}\), \(\frac{5}{7}\), \(\frac{4}{7}\), since \(3<4<5\), the order is \(\frac{3}{7}<\frac{4}{7}<\frac{5}{7}\).

Answer:

\(40\)

Question 34