Question

Which of the following orders is the correct order for the fractions $\frac{1}{4}$, $\frac{1}{5}$, $\frac{1}{6}$ and $\frac{1}{7}$ ?

• A. $\frac{1}{7}$ < $\frac{1}{6}$ < $\frac{1}{5}$ < $\frac{1}{4}$
• B. $\frac{1}{5}$ < $\frac{1}{7}$ < $\frac{1}{6}$ < $\frac{1}{4}$
• C. $\frac{1}{6}$ < $\frac{1}{7}$ < $\frac{1}{5}$ < $\frac{1}{4}$
• D. $\frac{1}{4}$ < $\frac{1}{7}$ < $\frac{1}{5}$ < $\frac{1}{6}$

Answer 1

The correct option is A $\frac{1}{7}$ < $\frac{1}{6}$ < $\frac{1}{5}$ < $\frac{1}{4}$

We know that for unit fractions, the numerators are the same.
Hence, we compare the denominators.
The higher the denominator, the lower the fraction.
Since, 7 > 6 > 5 > 4
The order of the fractions will be $\frac{1}{7}<\frac{1}{6}<\frac{1}{5}<\frac{1}{4}$.