What is 7/4 as a mixed number?

Understand the Problem

The question is asking us to convert the improper fraction 7/4 into a mixed number format, which involves determining how many whole parts are present and what the remaining fraction is.

Answer

1 3/4
Answer for screen readers

The final answer is 1 3/4

Steps to Solve

  1. Divide the numerator by the denominator

Determine how many whole parts are in the improper fraction $\frac{7}{4}$ by dividing 7 by 4.

$7 \div 4 = 1$ remainder $3$.

  1. Identify the whole number and the remainder

The quotient is the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part.

In this case, the quotient is $1$ and the remainder is $3$.

  1. Write the mixed number

The mixed number combines the whole number with the fractional part. The fractional part has the same denominator as the original fraction $\frac{7}{4}$. The mixed number is then: $$1 \frac{3}{4}$$

The final answer is 1 3/4

More Information

A mixed number is a number consisting of an integer and a proper fraction.

Tips

A common mistake is to forget to include the fractional part after determining the whole number. Always remember to express the remainder as a fraction.

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