Question

Express the ratio $2hours$ to $115minutes$ in its simplest form.

Answer 1

Step 1: Express the quantities in the same unit

When a comparison of two quantities is expressed as a ratio, then the units of the quantities should be the same.

So, let us first express the given quantities in the same unit, then simplify the ratio.

We have $2hours$ and $115minutes$.

Let's convert $2hours$ into minutes:

$1hour=60minutes$

$\Rightarrow$$2hours=2\times 60minutes$

$\Rightarrow$$2hours=120minutes$

So now, the ratio is $120minutes$ to $115minutes$ or $120:115$.

Step 2: Simplify the ratio

To express a ratio in its simplest form, we find the highest common factor (H.C.F) of the terms of the ratio and then divide each term by the H.C.F.

Let's simplify $120:115$:

The H.C.F of $120$ and $115$ is $5$.

$\frac{120÷5}{115÷5}=\frac{24}{23}$

Hence, the simplest form of the ratio $2hours$ to $115minutes$ is $24:23$.