Question

change these fractions to mixed numbers: 12/5 15/6 3/2 7/6

Explanation:

For $\boldsymbol{\frac{12}{5}}$:

Step1: Divide numerator by denominator

$12 \div 5 = 2$ with a remainder of $2$.

Step2: Write as mixed number

A mixed number is written as ${\text{Quotient}} \frac{\text{Remainder}}{\text{Divisor}}$, so $\frac{12}{5} = 2\frac{2}{5}$.

For $\boldsymbol{\frac{15}{6}}$:

Step1: Simplify the fraction (optional, but easier)

First, simplify $\frac{15}{6}$ by dividing numerator and denominator by their greatest common divisor, which is $3$. So $\frac{15\div3}{6\div3}=\frac{5}{2}$.

Step2: Divide numerator by denominator

$5 \div 2 = 2$ with a remainder of $1$.

Step3: Write as mixed number

Using the mixed number formula, $\frac{5}{2}=2\frac{1}{2}$ (or we could have done it directly with $\frac{15}{6}$: $15\div6 = 2$ with remainder $3$, so $\frac{15}{6}=2\frac{3}{6}=2\frac{1}{2}$ after simplifying the fraction part).

For $\boldsymbol{\frac{3}{2}}$:

Step1: Divide numerator by denominator

$3 \div 2 = 1$ with a remainder of $1$.

Step2: Write as mixed number

Applying the mixed number formula, $\frac{3}{2}=1\frac{1}{2}$.

For $\boldsymbol{\frac{7}{6}}$:

Answer:

s:

• $\frac{12}{5} = \boldsymbol{2\frac{2}{5}}$
• $\frac{15}{6} = \boldsymbol{2\frac{1}{2}}$
• $\frac{3}{2} = \boldsymbol{1\frac{1}{2}}$
• $\frac{7}{6} = \boldsymbol{1\frac{1}{6}}$