Questions: Question 16 Express the ratio 1/4: 1/7 in simplest form 1: 1 cannot be done 4: 7 7: 4

Transcript text: Question 16 Express the ratio $\frac{1}{4}: \frac{1}{7}$ in simplest form $1: 1$ cannot be done $4: 7$ $7: 4$

Solution

Solution Steps

To express the ratio $\frac{1}{4} : \frac{1}{7}$ in simplest form, we need to find a common denominator for the fractions and then simplify the resulting ratio. The ratio of two fractions $\frac{a}{b} : \frac{c}{d}$ can be simplified by multiplying both sides by the least common multiple of the denominators $b$ and $d$.

Step 1: Define the Ratios

We start with the ratio $\frac{1}{4} : \frac{1}{7}$.

Step 2: Calculate the Ratio

To simplify the ratio, we can express it as: \[ \frac{\frac{1}{4}}{\frac{1}{7}} = \frac{1}{4} \times \frac{7}{1} = \frac{7}{4} \]

Step 3: Express in Simplest Form

The ratio $\frac{7}{4}$ can be expressed in simplest form as $7:4$.