Question Convert a mixed number to an improper fraction.

Studdy Solution

STEP 1

Assumptions1. The given number is a mixed number $5 \frac{3}{4}$ . We want to convert this mixed number into an improper fraction

STEP 2

The general formula to convert a mixed number into an improper fraction is $\text{Improper Fraction} = (\text{Whole Number} \times \text{Denominator}) + \text{umerator}$

STEP 3

Now, plug in the given values for the whole number, denominator, and numerator to calculate the improper fraction.
$\text{Improper Fraction} = (5 \times) +3$

STEP 4

Calculate the numerator of the improper fraction.
$\text{umerator} = \times4 +3 =20 +3 =23$

STEP 5

The denominator of the improper fraction is the same as the denominator of the fractional part of the mixed number. In this case, the denominator is4.
$\text{Denominator} =4$

STEP 6

Now, write the improper fraction with the calculated numerator and denominator.
$\text{Improper Fraction} = \frac{23}{4}$ $5 \frac{3}{4}$ as an improper fraction is $\frac{23}{4}$ .

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