Question

Write three rational numbers between the numbers 4 upon 5, 2 upon 3 ​

Answer 1

Answer:

4/5 = (4×3) / (5×3) = 12/15

2/3 = (2×5) / (3×5) = 10/15

12/15 = (12×3) / (15×3) = 36/45

10/15 = (10×3) / (15×3) = 30/45

Hence, 31/45, 32/45 and 33/45 are three rational numbers between 4/5 and 2/3.

Answer 2

Given: Fractions $\frac{4}{5}$ and $\frac{2}{3}$

To find: Three rational numbers between 4/5 and 2/3

Solution: To find rational numbers between 4/5 and 2/3, first we need to convert 4/5 and 2/3 to like fractions

Conversion to like fractions:

Step 1: Find LC.M. of 5 and 3

L.C.M. of 5 and 3 is 15

Step 2: Multiply the fractions with such numbers so that the resulting denominator becomes 15. To find such numbers, divide 15 by denominators.

For 4/5, divide 15 by 5. The result is 3.

$\frac{4}{5}$ × $\frac{3}{3}$ = $\frac{12}{15}$

For 2/3, divide 15 by 3. The result is 5.

$\frac{2}{3}$ × $\frac{5}{5}$ = $\frac{10}{15}$

Calculating equivalent fractions of 10/15 and 12/15 as we can get only one fraction 11/15 between them. (Equivalent fractions have different numerator and denominator but are same in value as of the original fraction)

$\frac{10}{15}$ × $\frac{2}{2}$ = $\frac{20}{30}$    and    $\frac{12}{15}$ × $\frac{2}{2}$ = $\frac{24}{30}$

Three rational numbers between 20/30 (also 4/5) and 24/30 (also 2/3) are 21/30, 22/30, 23/30