The ratio is used for comparing two quantities of the sane kind.
The ratio formula for two numbers says a and b is given by a:b or a/b. When two or more such ratios are equal, they are said to be in proportion.
The concept of ratio and proportion is majorly based on ratios and fractions.
Solution:
Given ratio can be written as, $5/8$ and $7/10$
Then,
$5\times 10<8\times 7$
$50<56$
Therefore,
So, $7:10$ is greater.
Solution:
Given ratio, $\left( 5,2 \right):\left( 15/4 \right)$and$\left( {5}/{3}\; \right):\left( {11}/{6}\; \right)$
$\left( 5/2 \right):\left( 15/4 \right)=\left( 5/3 \right)\times \left( 4/15 \right)=2/3$
$\left( 5/3 \right):\left( 11:6 \right)=\left( 5/3 \right)\times \left( 6/11 \right)=10/11$
Consider, $2/3:10/11$
$2\times 11<3\times 10$
$22<30$
$2:3<10:11$
$5/2:15/4<5/3:11/6$
Therefore, $5/3:11/6$is greater.