Question

name
lesson 4.3 changing mixed numbers to fractions greater than 1
change each mixed number to a fraction greater than 1.

1. $3\frac{8}{9}$ ____ 2. $7\frac{1}{3}$ ____
2. $4\frac{5}{12}$ ____ 4. $8\frac{2}{3}$ ____
3. $2\frac{7}{16}$ ____ 6. $3\frac{5}{6}$ ____
4. $4\frac{2}{15}$ ____ 8. $5\frac{7}{9}$ ____

Explanation:

Problem 1: \( 3\frac{8}{9} \)

Step 1: Multiply whole number by denominator

Multiply \( 3 \) (whole number) by \( 9 \) (denominator): \( 3\times9 = 27 \)

Step 2: Add numerator

Add the numerator \( 8 \) to the result: \( 27 + 8 = 35 \)

Step 3: Form improper fraction

The denominator remains \( 9 \), so the fraction is \( \frac{35}{9} \)

Step 1: Multiply whole number by denominator

\( 7\times3 = 21 \)

Step 2: Add numerator

\( 21 + 1 = 22 \)

Step 3: Form improper fraction

Denominator is \( 3 \), so \( \frac{22}{3} \)

Step 1: Multiply whole number by denominator

\( 4\times12 = 48 \)

Step 2: Add numerator

\( 48 + 5 = 53 \)

Step 3: Form improper fraction

Denominator is \( 12 \), so \( \frac{53}{12} \)

Answer:

\( \frac{35}{9} \)

Problem 2: \( 7\frac{1}{3} \)