Name: Rational Numbers Between Two Rational Numbers
Uploaded: 2019-07-19
Duration: 9 min 50 s
Description: In this video, we will learn that we can find infinite rational numbers between any two rational numbers. Interested to know more? Just click!

Question

Find the value of the following with the help of Commutative Law and Associative Law:

$\frac{5}{8} + (- \frac{7}{15}) + (\frac{3}{32}) + \frac{11}{75}$

Accepted Answer

Given expression: $\frac{5}{8} + (- \frac{7}{15}) + (\frac{3}{32}) + \frac{11}{75}$

Now, $\frac{5}{8} + (- \frac{7}{15}) + (\frac{3}{32}) + \frac{11}{75}$

$= \frac{5}{8} + \{(- \frac{7}{15}) + (\frac{3}{32})\} + \frac{11}{75}$

$= \frac{5}{8} + \{(\frac{3}{32}) + (- \frac{7}{15})\} + \frac{11}{75}$ $[Using the commutative property of addition]$

$= \{\frac{5}{8} + (\frac{3}{32})\} + \{(- \frac{7}{15}) + \frac{11}{75}\}$

$[Using the associative property of addition]$

$= (\frac{5}{8} + \frac{3}{32}) + (\frac{11}{75} - \frac{7}{15})$

$= \frac{(5 \times 4) + (3 \times 1)}{32} + \frac{(11 \times 1) - (7 \times 5)}{75}$ $[∵ L . C . M . of 8, 32 is 32 and L . C . M . of 75, 15 is 75]$

$= \frac{20 + 3}{32} + \frac{11 - 35}{75}$

$= \frac{23}{32} - \frac{24}{75}$

$= \frac{23}{32} - \frac{8}{25}$

$= \frac{(23 \times 25) - (8 \times 32)}{800}$

$= \frac{575 - 256}{800}$

$= \frac{319}{800}$

$∴$ $\frac{5}{8} + (- \frac{7}{15}) + (\frac{3}{32}) + \frac{11}{75}$ $= \frac{319}{800}$

Find the value of the following with the help of Commutative Law and Associative Law:

$\frac{5}{8} + (- \frac{7}{15}) + (\frac{3}{32}) + \frac{11}{75}$

Important Questions on Rational Numbers

Learn and Prepare for any exam you want !

Find the value of the following with the help of Commutative Law and Associative Law: 58+-715+332+1175

Important Questions on Rational Numbers

Learn and Prepare for any exam you want !

Find the value of the following with the help of Commutative Law and Associative Law:

$\frac{5}{8} + (- \frac{7}{15}) + (\frac{3}{32}) + \frac{11}{75}$