improper fraction to mixed number fraction
name:
convert the improper fraction to a mixed number fraction.
$\frac{17}{5}$
first divide the numerator by the denominator.
$17\div5 = 3\text{ r}2$
$3\frac{2}{5}$
the 3 is your whole number.
while the remainder become the numerator.
$3\frac{2}{5}$
your denominator stays the same.
and now you have your mixed number.
ex) $\frac{21}{2}=10\frac{1}{2}$
1) $\frac{52}{7}=$
2) $\frac{10}{6}=$
3) $\frac{15}{6}=$
4) $\frac{89}{10}=$
5) $\frac{19}{6}=$
6) $\frac{46}{8}=$
7) $\frac{15}{4}=$
8) $\frac{35}{6}=$
9) $\frac{62}{9}=$
10) $\frac{61}{6}=$
11) $\frac{17}{3}=$
12) $\frac{11}{3}=$
13) $\frac{46}{5}=$
14) $\frac{6}{4}=$
15) $\frac{75}{7}=$
16) $\frac{5}{3}=$
17) $\frac{31}{5}=$

Question

Accepted Answer

### 1) $\boldsymbol{\frac{52}{7}}$
# Explanation:
## Step1: Divide numerator by denominator
$52 \div 7 = 7\ r3$ (7 times 7 is 49, 52 - 49 = 3)
## Step2: Form mixed number
Whole number is 7, numerator is 3, denominator remains 7. So $\frac{52}{7} = 7\frac{3}{7}$
# Answer: $7\frac{3}{7}$

### 2) $\boldsymbol{\frac{10}{6}}$
# Explanation:
## Step1: Simplify (optional, but divide numerator by denominator)
$10 \div 6 = 1\ r4$ (6 times 1 is 6, 10 - 6 = 4)
## Step2: Form mixed number (and simplify fraction)
Whole number 1, numerator 4, denominator 6. Simplify $\frac{4}{6}$ to $\frac{2}{3}$. So $\frac{10}{6} = 1\frac{2}{3}$ (or simplify first: $\frac{10}{6}=\frac{5}{3}$, then $5\div3 = 1\ r2$, so $1\frac{2}{3}$)
# Answer: $1\frac{2}{3}$

### 3) $\boldsymbol{\frac{15}{6}}$
# Explanation:
## Step1: Divide numerator by denominator
$15 \div 6 = 2\ r3$ (6 times 2 is 12, 15 - 12 = 3)
## Step2: Form mixed number (and simplify fraction)
Whole number 2, numerator 3, denominator 6. Simplify $\frac{3}{6}$ to $\frac{1}{2}$. So $\frac{15}{6} = 2\frac{1}{2}$ (or simplify first: $\frac{15}{6}=\frac{5}{2}$, then $5\div2 = 2\ r1$? Wait, no, 15÷6=2.5, but with remainder: 6×2=12, 15-12=3. Then $\frac{3}{6}=\frac{1}{2}$, so $2\frac{1}{2}$)
# Answer: $2\frac{1}{2}$

### 4) $\boldsymbol{\frac{89}{10}}$
# Explanation:
## Step1: Divide numerator by denominator
$89 \div 10 = 8\ r9$ (10 times 8 is 80, 89 - 80 = 9)
## Step2: Form mixed number
Whole number 8, numerator 9, denominator 10. So $\frac{89}{10} = 8\frac{9}{10}$
# Answer: $8\frac{9}{10}$

### 5) $\boldsymbol{\frac{19}{6}}$
# Explanation:
## Step1: Divide numerator by denominator
$19 \div 6 = 3\ r1$ (6 times 3 is 18, 19 - 18 = 1)
## Step2: Form mixed number
Whole number 3, numerator 1, denominator 6. So $\frac{19}{6} = 3\frac{1}{6}$
# Answer: $3\frac{1}{6}$

### 6) $\boldsymbol{\frac{46}{8}}$
# Explanation:
## Step1: Divide numerator by denominator
$46 \div 8 = 5\ r6$ (8 times 5 is 40, 46 - 40 = 6)
## Step2: Form mixed number (and simplify fraction)
Whole number 5, numerator 6, denominator 8. Simplify $\frac{6}{8}$ to $\frac{3}{4}$. So $\frac{46}{8} = 5\frac{3}{4}$ (or simplify first: $\frac{46}{8}=\frac{23}{4}$, then $23\div4 = 5\ r3$, so $5\frac{3}{4}$)
# Answer: $5\frac{3}{4}$

### 7) $\boldsymbol{\frac{15}{4}}$
# Explanation:
## Step1: Divide numerator by denominator
$15 \div 4 = 3\ r3$ (4 times 3 is 12, 15 - 12 = 3)
## Step2: Form mixed number
Whole number 3, numerator 3, denominator 4. So $\frac{15}{4} = 3\frac{3}{4}$
# Answer: $3\frac{3}{4}$

### 8) $\boldsymbol{\frac{35}{6}}$
# Explanation:
## Step1: Divide numerator by denominator
$35 \div 6 = 5\ r5$ (6 times 5 is 30, 35 - 30 = 5)
## Step2: Form mixed number
Whole number 5, numerator 5, denominator 6. So $\frac{35}{6} = 5\frac{5}{6}$
# Answer: $5\frac{5}{6}$

### 9) $\boldsymbol{\frac{62}{9}}$
# Explanation:
## Step1: Divide numerator by denominator
$62 \div 9 = 6\ r8$ (9 times 6 is 54, 62 - 54 = 8)
## Step2: Form mixed number
Whole number 6, numerator 8, denominator 9. So $\frac{62}{9} = 6\frac{8}{9}$
# Answer: $6\frac{8}{9}$

### 10) $\boldsymbol{\frac{61}{6}}$
# Explanation:
## Step1: Divide numerator by denominator
$61 \div 6 = 10\ r1$ (6 times 10 is 60, 61 - 60 = 1)
## Step2: Form mixed number
Whole number 10, numerator 1, denominator 6. So $\frac{61}{6} = 10\frac{1}{6}$
# Answer: $10\frac{1}{6}$

### 11) $\boldsymbol{\frac{17}{3}}$
# Explanation:
## Step1: Divide numerator by denominator
$17 \div 3 = 5\ r2$ (3 times 5 is 15, 17 - 15 = 2)
## Step2: Form mixed number
Whole number 5, numerator 2, denominator 3. So $\frac{17}{3} = 5\frac{2}{3}$
# Answer: $5\frac{2}{3}$

### 12) $\boldsymbol{\frac{11}{3}}$
# Explanation:
## Step1: Divide numerator by denominator
$11 \div 3 = 3\ r2$ (3 times 3 is 9, 11 - 9 = 2)
## Step2: Form mixed number
Whole number 3, numerator 2, denominator 3. So $\frac{11}{3} = 3\frac{2}{3}$
# Answer: $3\frac{2}{3}$

### 13) $\boldsymbol{\frac{46}{5}}$
# Explanation:
## Step1: Divide numerator by denominator
$46 \div 5 = 9\ r1$ (5 times 9 is 45, 46 - 45 = 1)
## Step2: Form mixed number
Whole number 9, numerator 1, denominator 5. So $\frac{46}{5} = 9\frac{1}{5}$
# Answer: $9\frac{1}{5}$

### 14) $\boldsymbol{\frac{6}{4}}$
# Explanation:
## Step1: Simplify (or divide numerator by denominator)
$6 \div 4 = 1\ r2$ (4 times 1 is 4, 6 - 4 = 2)
## Step2: Form mixed number (and simplify fraction)
Whole number 1, numerator 2, denominator 4. Simplify $\frac{2}{4}$ to $\frac{1}{2}$. So $\frac{6}{4} = 1\frac{1}{2}$ (or simplify first: $\frac{6}{4}=\frac{3}{2}$, then $3\div2 = 1\ r1$, so $1\frac{1}{2}$)
# Answer: $1\frac{1}{2}$

### 15) $\boldsymbol{\frac{75}{7}}$
# Explanation:
## Step1: Divide numerator by denominator
$75 \div 7 = 10\ r5$ (7 times 10 is 70, 75 - 70 = 5)
## Step2: Form mixed number
Whole number 10, numerator 5, denominator 7. So $\frac{75}{7} = 10\frac{5}{7}$
# Answer: $10\frac{5}{7}$

### 16) $\boldsymbol{\frac{5}{3}}$
# Explanation:
## Step1: Divide numerator by denominator
$5 \div 3 = 1\ r2$ (3 times 1 is 3, 5 - 3 = 2)
## Step2: Form mixed number
Whole number 1, numerator 2, denominator 3. So $\frac{5}{3} = 1\frac{2}{3}$
# Answer: $1\frac{2}{3}$

### 17) $\boldsymbol{\frac{31}{5}}$
# Explanation:
## Step1: Divide numerator by denominator
$31 \div 5 = 6\ r1$ (5 times 6 is 30, 31 - 30 = 1)
## Step2: Form mixed number
Whole number 6, numerator 1, denominator 5. So $\frac{31}{5} = 6\frac{1}{5}$
# Answer: $6\frac{1}{5}$

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QUESTION IMAGE

Question

Explanation:

1) $\boldsymbol{\frac{52}{7}}$

Step1: Divide numerator by denominator

Step2: Form mixed number

Step1: Simplify (optional, but divide numerator by denominator)

Step2: Form mixed number (and simplify fraction)

Step1: Divide numerator by denominator

Step2: Form mixed number (and simplify fraction)

Answer:

2) $\boldsymbol{\frac{10}{6}}$