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add. 17. $2\\frac{1}{4}+3\\frac{1}{2}=\\frac{\\quad}{\\quad}$ 18. 19. r…

Question

add.

  1. $2\frac{1}{4}+3\frac{1}{2}=\frac{\quad}{\quad}$

18.

  1. round 6.753.

nearest whole number: ______
nearest tenth: ______
nearest hundredth: ______
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Explanation:

Step1: Convert mixed numbers to improper fractions

$2\frac{1}{4} = \frac{2\times4 + 1}{4} = \frac{9}{4}$, $3\frac{1}{2} = \frac{3\times2 + 1}{2} = \frac{7}{2}$

Step2: Find common denominator and add

$\frac{7}{2} = \frac{14}{4}$, so $\frac{9}{4} + \frac{14}{4} = \frac{23}{4}$

Step3: Round to nearest whole number

Look at tenths place: $6.753$ has 7 ≥ 5, so round up: $6.753
ightarrow 7$

Step4: Round to nearest tenth

Look at hundredths place: $6.753$ has 5 ≥ 5, so round up: $6.753
ightarrow 6.8$

Step5: Round to nearest hundredth

Look at thousandths place: $6.753$ has 3 < 5, so keep hundredths place: $6.753
ightarrow 6.75$

Answer:

  1. $\frac{23}{4}$ or $5\frac{3}{4}$
  2. Nearest whole number: 7

Nearest tenth: 6.8
Nearest hundredth: 6.75