another look!
kyra has $\frac{33}{8}$ yards of red ribbon and $\frac{23}{3}$ yards of blue ribbon. about how many yards of ribbon does she have?
round both numbers to the nearest whole number. then add or subtract.
estimate $\frac{33}{8} + \frac{23}{3}$.
$\frac{33}{8}$ is $\frac{1}{8}$ more than $\frac{32}{8}$, which is 4. so $\frac{33}{8}$ rounds to 4.
$\frac{23}{3}$ is $\frac{1}{3}$ less than $\frac{24}{3}$, which is 8. so $\frac{23}{3}$ rounds to 8.
$4 + 8 = 12$
so, $\frac{33}{8} + \frac{23}{3}$ is about 12.
kyra has about 12 yards of ribbon.

in 1–8, round to the nearest whole number.
1. $\frac{53}{6}$
2. $13\frac{8}{9}$
3. $\frac{130}{3}$
4. $6\frac{6}{7}$
5. $7\frac{40}{81}$
6. $\frac{73}{5}$
7. $88\frac{2}{4}$
8. $\frac{203}{10}$

in 9–17, estimate each sum or difference.
9. $\frac{74}{10} + \frac{42}{5}$
10. $14\frac{5}{8} - 3\frac{7}{10}$
11. $\frac{9}{4} + \frac{11}{2} + \frac{43}{4}$
12. $\frac{58}{5} - \frac{49}{12}$
13. $9 + 3\frac{11}{14} + 5\frac{1}{9}$
14. $15\frac{6}{7} - 12\frac{2}{10}$
15. $3\frac{2}{5} + 6\frac{5}{7}$
16. $\frac{61}{3} - \frac{19}{2}$
17. $25\frac{7}{8} + 8\frac{7}{12}$

Question

another look!
kyra has $\frac{33}{8}$ yards of red ribbon and $\frac{23}{3}$ yards of blue ribbon. about how many yards of ribbon does she have?
round both numbers to the nearest whole number. then add or subtract.
estimate $\frac{33}{8} + \frac{23}{3}$.
$\frac{33}{8}$ is $\frac{1}{8}$ more than $\frac{32}{8}$, which is 4. so $\frac{33}{8}$ rounds to 4.
$\frac{23}{3}$ is $\frac{1}{3}$ less than $\frac{24}{3}$, which is 8. so $\frac{23}{3}$ rounds to 8.
$4 + 8 = 12$
so, $\frac{33}{8} + \frac{23}{3}$ is about 12.
kyra has about 12 yards of ribbon.

in 1–8, round to the nearest whole number.
1. $\frac{53}{6}$
2. $13\frac{8}{9}$
3. $\frac{130}{3}$
4. $6\frac{6}{7}$
5. $7\frac{40}{81}$
6. $\frac{73}{5}$
7. $88\frac{2}{4}$
8. $\frac{203}{10}$

in 9–17, estimate each sum or difference.
9. $\frac{74}{10} + \frac{42}{5}$
10. $14\frac{5}{8} - 3\frac{7}{10}$
11. $\frac{9}{4} + \frac{11}{2} + \frac{43}{4}$
12. $\frac{58}{5} - \frac{49}{12}$
13. $9 + 3\frac{11}{14} + 5\frac{1}{9}$
14. $15\frac{6}{7} - 12\frac{2}{10}$
15. $3\frac{2}{5} + 6\frac{5}{7}$
16. $\frac{61}{3} - \frac{19}{2}$
17. $25\frac{7}{8} + 8\frac{7}{12}$

Accepted Answer

### Problem 1: $\boldsymbol{\frac{53}{6}}$ (Round to the nearest whole number)
# Explanation:
## Step 1: Divide 53 by 6
$53 \div 6 = 8.833\ldots$
## Step 2: Round to nearest whole number
Since the decimal part $0.833\ldots \geq 0.5$, we round up. So $8.833\ldots$ rounds to 9.
# Answer: 9

### Problem 2: $\boldsymbol{13\frac{8}{9}}$ (Round to the nearest whole number)
# Explanation:
## Step 1: Analyze the fraction part
The fraction is $\frac{8}{9}$, which is very close to 1 (since $\frac{8}{9} \approx 0.888\ldots \geq 0.5$).
## Step 2: Round the mixed number
Adding 1 to the whole number part 13, we get $13 + 1 = 14$.
# Answer: 14

### Problem 3: $\boldsymbol{\frac{130}{3}}$ (Round to the nearest whole number)
# Explanation:
## Step 1: Divide 130 by 3
$130 \div 3 = 43.333\ldots$
## Step 2: Round to nearest whole number
Since the decimal part $0.333\ldots < 0.5$, we round down to 43.
# Answer: 43

### Problem 4: $\boldsymbol{6\frac{6}{7}}$ (Round to the nearest whole number)
# Explanation:
## Step 1: Analyze the fraction part
The fraction is $\frac{6}{7} \approx 0.857 \geq 0.5$.
## Step 2: Round the mixed number
Adding 1 to the whole number part 6, we get $6 + 1 = 7$.
# Answer: 7

### Problem 5: $\boldsymbol{7\frac{40}{81}}$ (Round to the nearest whole number)
# Explanation:
## Step 1: Analyze the fraction part
$\frac{40}{81} \approx 0.494 < 0.5$.
## Step 2: Round the mixed number
We keep the whole number part as 7.
# Answer: 7

### Problem 6: $\boldsymbol{\frac{73}{5}}$ (Round to the nearest whole number)
# Explanation:
## Step 1: Divide 73 by 5
$73 \div 5 = 14.6$
## Step 2: Round to nearest whole number
Since the decimal part $0.6 \geq 0.5$, we round up to 15.
# Answer: 15

### Problem 7: $\boldsymbol{88\frac{2}{4}}$ (Round to the nearest whole number)
# Explanation:
## Step 1: Simplify the fraction
$\frac{2}{4} = \frac{1}{2} = 0.5$.
## Step 2: Round the mixed number
Since the fraction part is 0.5, we round up the whole number part. So $88 + 1 = 89$.
# Answer: 89

### Problem 8: $\boldsymbol{\frac{203}{10}}$ (Round to the nearest whole number)
# Explanation:
## Step 1: Divide 203 by 10
$203 \div 10 = 20.3$
## Step 2: Round to nearest whole number
Since the decimal part $0.3 < 0.5$, we round down to 20.
# Answer: 20

### Problem 9: Estimate $\boldsymbol{\frac{74}{10} + \frac{42}{5}}$
# Explanation:
## Step 1: Round each fraction to nearest whole number
$\frac{74}{10} = 7.4 \approx 7$; $\frac{42}{5} = 8.4 \approx 8$
## Step 2: Add the rounded numbers
$7 + 8 = 15$
# Answer: 15

### Problem 10: Estimate $\boldsymbol{14\frac{5}{8} - 3\frac{7}{10}}$
# Explanation:
## Step 1: Round each mixed number to nearest whole number
$14\frac{5}{8} \approx 15$ (since $\frac{5}{8} = 0.625 \geq 0.5$); $3\frac{7}{10} \approx 4$ (since $\frac{7}{10} = 0.7 \geq 0.5$)
## Step 2: Subtract the rounded numbers
$15 - 4 = 11$
# Answer: 11

### Problem 11: Estimate $\boldsymbol{\frac{9}{4} + \frac{11}{2} + \frac{43}{4}}$
# Explanation:
## Step 1: Round each fraction to nearest whole number
$\frac{9}{4} = 2.25 \approx 2$; $\frac{11}{2} = 5.5 \approx 6$; $\frac{43}{4} = 10.75 \approx 11$
## Step 2: Add the rounded numbers
$2 + 6 + 11 = 19$
# Answer: 19

### Problem 12: Estimate $\boldsymbol{\frac{58}{5} - \frac{49}{12}}$
# Explanation:
## Step 1: Round each fraction to nearest whole number
$\frac{58}{5} = 11.6 \approx 12$; $\frac{49}{12} \approx 4.08 \approx 4$
## Step 2: Subtract the rounded numbers
$12 - 4 = 8$
# Answer: 8

### Problem 13: Estimate $\boldsymbol{9 + 3\frac{11}{14} + 5\frac{1}{9}}$
# Explanation:
## Step 1: Round each mixed number to nearest whole number
$3\frac{11}{14} \approx 4$ (since $\frac{11}{14} \approx 0.786 \geq 0.5$); $5\frac{1}{9} \approx 5$ (since $\frac{1}{9} \approx 0.111 < 0.5$)
## Step 2: Add the rounded numbers
$9 + 4 + 5 = 18$
# Answer: 18

### Problem 14: Estimate $\boldsymbol{15\frac{6}{7} - 12\frac{2}{10}}$
# Explanation:
## Step 1: Round each mixed number to nearest whole number
$15\frac{6}{7} \approx 16$ (since $\frac{6}{7} \approx 0.857 \geq 0.5$); $12\frac{2}{10} \approx 12$ (since $\frac{2}{10} = 0.2 < 0.5$)
## Step 2: Subtract the rounded numbers
$16 - 12 = 4$
# Answer: 4

### Problem 15: Estimate $\boldsymbol{3\frac{2}{5} + 6\frac{5}{7}}$
# Explanation:
## Step 1: Round each mixed number to nearest whole number
$3\frac{2}{5} \approx 3$ (since $\frac{2}{5} = 0.4 < 0.5$); $6\frac{5}{7} \approx 7$ (since $\frac{5}{7} \approx 0.714 \geq 0.5$)
## Step 2: Add the rounded numbers
$3 + 7 = 10$
# Answer: 10

### Problem 16: Estimate $\boldsymbol{\frac{61}{3} - \frac{19}{2}}$
# Explanation:
## Step 1: Round each fraction to nearest whole number
$\frac{61}{3} \approx 20.33 \approx 20$; $\frac{19}{2} = 9.5 \approx 10$
## Step 2: Subtract the rounded numbers
$20 - 10 = 10$
# Answer: 10

### Problem 17: Estimate $\boldsymbol{25\frac{7}{8} + 8\frac{7}{12}}$
# Explanation:
## Step 1: Round each mixed number to nearest whole number
$25\frac{7}{8} \approx 26$ (since $\frac{7}{8} = 0.875 \geq 0.5$); $8\frac{7}{12} \approx 9$ (since $\frac{7}{12} \approx 0.583 \geq 0.5$)
## Step 2: Add the rounded numbers
$26 + 9 = 35$
# Answer: 35

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Problem 1: $\boldsymbol{\frac{53}{6}}$ (Round to the nearest whole number)

Step 1: Divide 53 by 6

Step 2: Round to nearest whole number

Step 1: Analyze the fraction part

Step 2: Round the mixed number

Step 1: Divide 130 by 3

Step 2: Round to nearest whole number

Answer:

Problem 2: $\boldsymbol{13\frac{8}{9}}$ (Round to the nearest whole number)