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
- Convert the mixed number to an improper fraction
Take the mixed number $1 \frac{1}{4}$ and convert it to an improper fraction:
$$ 1 \frac{1}{4} = \frac{1 \cdot 4 + 1}{4} = \frac{4 + 1}{4} = \frac{5}{4} $$
- 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:
$$ \frac{5}{4} \div 4 = \frac{5}{4} \times \frac{1}{4} $$
- Multiply the fractions
Multiply the numerators and the denominators:
$$ \frac{5 \cdot 1}{4 \cdot 4} = \frac{5}{16} $$
- 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.
