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.

Answer

\( \frac{5}{16} \)
Answer for screen readers

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} )

More Information

Dividing by whole numbers can be performed by multiplying by their reciprocal.

Tips

A common mistake is forgetting to convert the mixed number to an improper fraction before performing the division.

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