Question

In each example below, find the ratio of the first number to the second.
(1) $24,56$ (2) $63,49$ (3) $52,65$ (4) $84,60$ (5) $35,65$ (6) $121,99$

Answer 1

To find ratio of any two numbers $a$ and $b$, we always represent them as $a:b$ where HCF of $a$ and $b$ is $1$.

(1) $24:56=\frac{24}{56}=\frac{24÷8}{56÷8}=\frac{3}{7}=3:7$ (HCF of $24$ and $56=8$)
(2) $63:49=\frac{63}{49}=\frac{63÷7}{49÷7}=\frac{9}{7}=9:7$ (HCF of $63$ and $49=7$)
(3) $52:65=\frac{52}{65}=\frac{52÷13}{65÷13}=\frac{4}{5}=4:5$ (HCF of $52$ and $65=13$)
(4) $84:60=\frac{84}{60}=\frac{84÷12}{60÷12}=\frac{7}{5}=7:5$ (HCF of $84$ and $60=12$)
(5) $35:65=\frac{35}{65}=\frac{35÷5}{65÷5}=\frac{7}{13}=7:13$ (HCF of $35$ and $65=5$)
(6) $121:99=\frac{121}{99}=\frac{121÷11}{99÷11}=\frac{11}{9}=11:9$ (HCF of $121$ and $99=11$)