3. Complete the following: $$ \begin{array}{lll} ext { a) } \frac{1}{5} ext { of } 450 & ext { b) } 3 \frac{5}{6} ext { of } 72 & ext { 1) } 3 \frac{3}{6}-\frac{2}{3} \ ext { d) } \frac{4}{9} ext { of } 20 & ext { c) } \frac{2}{3} ext { of } 36\end{array} $$

Question

3. Complete the following: $$ \begin{array}{lll}	ext { a) } \frac{1}{5} 	ext { of } 450 & 	ext { b) } 3 \frac{5}{6} 	ext { of } 72 & 	ext { 1) } 3 \frac{3}{6}-\frac{2}{3} \ 	ext { d) } \frac{4}{9} 	ext { of } 20 & 	ext { c) } \frac{2}{3} 	ext { of } 36\end{array} $$

UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1}{5}\times 450$$
- step1: Reduce the numbers:
  $$1\times 90$$
- step2: Simplify:
  $$90$$
Calculate or simplify the expression $$ (23/6) * 72 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{23}{6}\times 72$$
- step1: Reduce the numbers:
  $$23\times 12$$
- step2: Multiply the numbers:
  $$276$$
Calculate or simplify the expression $$ (2/3) * 36 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{2}{3}\times 36$$
- step1: Reduce the numbers:
  $$2\times 12$$
- step2: Multiply the numbers:
  $$24$$
Calculate or simplify the expression $$ (21/6) - (2/3) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{21}{6}\right)-\frac{2}{3}$$
- step1: Reduce the fraction:
  $$\frac{7}{2}-\frac{2}{3}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{7\times 3}{2\times 3}-\frac{2\times 2}{3\times 2}$$
- step3: Multiply the numbers:
  $$\frac{7\times 3}{6}-\frac{2\times 2}{3\times 2}$$
- step4: Multiply the numbers:
  $$\frac{7\times 3}{6}-\frac{2\times 2}{6}$$
- step5: Transform the expression:
  $$\frac{7\times 3-2\times 2}{6}$$
- step6: Multiply the numbers:
  $$\frac{21-2\times 2}{6}$$
- step7: Multiply the numbers:
  $$\frac{21-4}{6}$$
- step8: Subtract the numbers:
  $$\frac{17}{6}$$
Calculate or simplify the expression $$ (4/9) * 20 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{4}{9}\times 20$$
- step1: Multiply:
  $$\frac{4\times 20}{9}$$
- step2: Multiply:
  $$\frac{80}{9}$$
Let's solve each part step by step:

### a) $$ \frac{1}{5} \text{ of } 450 $$
To find $$ \frac{1}{5} $$ of 450, we calculate:
$$
\frac{1}{5} \times 450 = 90
$$

### b) $$ 3 \frac{5}{6} \text{ of } 72 $$
First, convert $$ 3 \frac{5}{6} $$ to an improper fraction:
$$
3 \frac{5}{6} = \frac{18 + 5}{6} = \frac{23}{6}
$$
Now, calculate $$ \frac{23}{6} $$ of 72:
$$
\frac{23}{6} \times 72 = 276
$$

### c) $$ \frac{2}{3} \text{ of } 36 $$
To find $$ \frac{2}{3} $$ of 36, we calculate:
$$
\frac{2}{3} \times 36 = 24
$$

### d) $$ \frac{4}{9} \text{ of } 20 $$
To find $$ \frac{4}{9} $$ of 20, we calculate:
$$
\frac{4}{9} \times 20 = \frac{80}{9} \approx 8.89 \text{ or } 8 \frac{8}{9}
$$

### 1) $$ 3 \frac{3}{6} - \frac{2}{3} $$
First, convert $$ 3 \frac{3}{6} $$ to an improper fraction:
$$
3 \frac{3}{6} = \frac{18 + 3}{6} = \frac{21}{6}
$$
Now, convert $$ \frac{2}{3} $$ to have a common denominator of 6:
$$
\frac{2}{3} = \frac{4}{6}
$$
Now, perform the subtraction:
$$
\frac{21}{6} - \frac{4}{6} = \frac{17}{6} \approx 2 \frac{5}{6} \text{ or } 2.83
$$

### Summary of Results:
- a) $$ 90 $$
- b) $$ 276 $$
- c) $$ 24 $$
- d) $$ 8 \frac{8}{9} $$
- 1) $$ \frac{17}{6} $$ or $$ 2 \frac{5}{6} $$ or $$ 2.83 $$
- a) 90 - b) 276 - c) 24 - d) 8 8/9 - 1) 17/6 or 2 5/6 or 2.83

3. Complete the following: \( \begin{array}{lll}\text { a) } \frac{1}{5} \text { of } 450 & \text { b) } 3 \frac{5}{6} \text { of } 72 & \text { 1) } 3 \frac{3}{6}-\frac{2}{3} \\ \text { d) } \frac{4}{9} \text { of } 20 & \text { c) } \frac{2}{3} \text { of } 36\end{array} \)

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