Question

Write each set of fractions with the lowest common denominator and then find which fraction is greater. 4/7 and 5/8 3/8 and 4/9 5/6 and 7/8 3/10 and 4/15

Answer 1

Answer:

$\frac{32}{56}\ < \frac{35}{56}$

$\frac{27}{72} \ < \frac{32}{72}$

$\frac{20}{24}\ < \frac{21}{24}$

$\frac{9}{30}\ >\frac{8}{30}$

Step-by-step explanation:

Given that,

First set of fraction is $\frac{4}{7}\ and \ \frac{5}{8}$.

Second set of fraction is $\frac{3}{8}\ and \ \frac{4}{9}$.

Third set of fraction is $\frac{5}{6}\ and \ \frac{7}{8}$.

Fourth set of fraction is $\frac{3}{10}\ and \ \frac{4}{15}$.

Now,

Considering the first set of fraction:

LCM of 7 and 8 is 56. Now, multiply by 8 to both numerator and denominator to $\frac{4}{7}$. and multiply by 7 to both the numerator and denominator to $\frac{5}{8}$. We get new set of fraction as $\frac{32}{56}\ and\ \frac{35}{56}$.

∴$\frac{32}{56}\ < \frac{35}{56}$

Again considering the second set of fraction:

LCM of 8 and 9 is 72. Now, multiply by 9 to both the numerator and denominator to $\frac{3}{8}$. and multiply by 8 to both the numerator and denominator to $\frac{4}{9}$. We get new set of fraction as $\frac{27}{72} \ and \ \frac{32}{72}$.

∴$\frac{27}{72} \ < \frac{32}{72}$.

Again considering the third set of fraction:

LCM of 6 and 8 is 24. Now, multiply by 4 to both the numerator and denominator to $\frac{5}{6}$. and multiply by 3 to both the numerator and denominator to $\frac{7}{8}$. We get the new set of fraction as $\frac{20}{24}\ and \ \frac{21}{24}$.

∴$\frac{20}{24}\ < \frac{21}{24}$.

Again considering the fourth set of fraction:

LCM of 10 and 15 is 30.Now, multiply by 3 to both the numerator and denominator to $\frac{3}{10}$. and multiply by 2 to both the numerator and denominator to $\frac{4}{15}$.We, get the new set of fraction as $\frac{9}{30}\ and \ \frac{8}{30}$.

∴ $\frac{9}{30}\ >\frac{8}{30}$