Question

Express the following ratio in the simplest form: $3.5:6.5$

Answer 1

Step 1: Write the given ratio in fraction

$3.5:6.5=\frac{3.5}{6.5}$

Step 2: To remove decimals, multiply both numerator and denominator by $10$ .

Because, both the numbers in the fraction are in decimal.

$\Rightarrow \frac{3.5\times 10}{6.5\times 10}=\frac{35}{65}$

Step 3: Dividing both numerator and denominator by HCF.

Because, highest common factor of $35,65$ is $5$ .

$\Rightarrow \frac{35÷5}{65÷5}=\frac{7}{13}=7:13$

Hence, the simplest form of $3.5:6.5$ is $7:13$.