Question

lesson 4.3 changing mixed numbers to fractions greater than 1
to change a mixed number to a fraction greater than 1, multiply the denominator by the whole number. then add the numerator to the product to get the new numerator. keep the denominator the same.
$2\frac{3}{4}=\frac{(4\times2)+3}{4}=\frac{8 + 3}{4}=\frac{11}{4}$
change each mixed number to a fraction greater than 1.

1. $2\frac{5}{8}$ ______
2. $3\frac{1}{4}$ ______
3. $2\frac{3}{7}$ ______
4. $3\frac{3}{4}$ ______
5. $2\frac{5}{12}$ ______
6. $4\frac{1}{6}$ ______
7. $5\frac{2}{7}$ ______
8. $4\frac{2}{5}$ ______

Explanation:

1. For \(2\frac{5}{8}\)

Step1: Multiply denominator by whole number

\(8\times2 = 16\)

Step2: Add numerator to the product

\(16 + 5=21\)

Step3: Keep denominator same

So, \(2\frac{5}{8}=\frac{21}{8}\)

2. For \(3\frac{1}{4}\)

Step1: Multiply denominator by whole number

\(4\times3 = 12\)

Step2: Add numerator to the product

\(12+ 1 = 13\)

Step3: Keep denominator same

So, \(3\frac{1}{4}=\frac{13}{4}\)

3. For \(2\frac{3}{7}\)

Step1: Multiply denominator by whole number

\(7\times2=14\)

Step2: Add numerator to the product

\(14 + 3=17\)

Step3: Keep denominator same

So, \(2\frac{3}{7}=\frac{17}{7}\)

4. For \(3\frac{3}{4}\)

Answer:

s:

1. \(\boldsymbol{\frac{21}{8}}\)
2. \(\boldsymbol{\frac{13}{4}}\)
3. \(\boldsymbol{\frac{17}{7}}\)
4. \(\boldsymbol{\frac{15}{4}}\)
5. \(\boldsymbol{\frac{29}{12}}\)
6. \(\boldsymbol{\frac{25}{6}}\)
7. \(\boldsymbol{\frac{37}{7}}\)
8. \(\boldsymbol{\frac{22}{5}}\)