# 1 1/4 divided by 4

#### Understand the Problem

The question is asking us to perform a division operation involving a mixed number and a whole number. We will convert the mixed number into an improper fraction and then divide it by the whole number.

$$\frac{5}{16}$$

The final answer is ( \frac{5}{16} )

#### Steps to Solve

1. Convert the mixed number to an improper fraction

Take the mixed number $1 \frac{1}{4}$ and convert it to an improper fraction:

$$1 \frac{1}{4} = \frac{1 \cdot 4 + 1}{4} = \frac{4 + 1}{4} = \frac{5}{4}$$

1. Write the division as a multiplication by the reciprocal

Dividing by 4 is the same as multiplying by the reciprocal of 4, which is $\frac{1}{4}$. So, we rewrite the division:

$$\frac{5}{4} \div 4 = \frac{5}{4} \times \frac{1}{4}$$

1. Multiply the fractions

Multiply the numerators and the denominators:

$$\frac{5 \cdot 1}{4 \cdot 4} = \frac{5}{16}$$

1. Simplify the fraction if needed

The fraction $\frac{5}{16}$ is already in its simplest form.

The final answer is $\frac{5}{16}$

The final answer is ( \frac{5}{16} )