Question

7:10 and 3:5Compare the following ratios

Answer 1

Write the ratios as fractions

`\begin{gathered} 7\colon10\Longrightarrow(7)/(10) \\ 3\colon5\Longrightarrow(3)/(5) \end{gathered}`

Convert 3/5 into same denominator with 7/10

`\begin{gathered} (3)/(5)\cdot(2)/(2)=(6)/(10) \\ \\ \text{Now compare} \\ (7)/(10)\questeq(6)/(10) \\ \\ \text{The numerator is greater in }(7)/(10),\text{ therefore} \\ \\ (7)/(10)>(6)/(10) \\ \\ (7)/(10)>(3)/(5)\text{ (final answer)} \end{gathered}`