Math / Numbers & Operations

Question $2 \frac{3}{4}$

Studdy Solution

STEP 1

1. We are given a mixed fraction $2 \frac{3}{4}$ .
2. We need to convert this mixed fraction to an improper fraction.
3. We also need to convert the improper fraction $\frac{7}{3}$ to a mixed fraction.

STEP 2

1. Convert the mixed fraction $2 \frac{3}{4}$ to an improper fraction.
2. Convert the improper fraction $\frac{7}{3}$ to a mixed fraction.

STEP 3

Identify the components of the mixed fraction $2 \frac{3}{4}$ . - The whole number part is $2$ . - The numerator of the fractional part is $3$ . - The denominator of the fractional part is $4$ .

STEP 4

Use the formula to convert a mixed fraction to an improper fraction: $\text{Improper Fraction} = (\text{Whole Number} \times \text{Denominator}) + \text{Numerator}$

STEP 5

Perform the calculation: $(2 \times 4) + 3 = 8 + 3 = 11$

STEP 6

Write the improper fraction with the calculated numerator and the original denominator: $\frac{11}{4}$

STEP 7

Identify the components of the improper fraction $\frac{7}{3}$ . - The numerator is $7$ . - The denominator is $3$ .

STEP 8

Divide the numerator by the denominator to find the whole number part: $7 \div 3 = 2 \text{ R } 1$

STEP 9

Write the mixed fraction using the quotient as the whole number and the remainder as the new numerator: $2 \frac{1}{3}$
The improper fraction for $2 \frac{3}{4}$ is $\frac{11}{4}$ , and the mixed fraction for $\frac{7}{3}$ is $2 \frac{1}{3}$ .

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