33 {1}{3}"% of 78 = 55% of 84 = {1}{210} + {1}{240} + {1}{272} = 2.5% of 90 = See answer

Daftar Isi

33 13 of 78 55 of 84 1210 1240 1272 25 of 90

Question

33\frac{1}{3}”% of 78 = \\55% of 84 = \\ \frac{1}{210} + \frac{1}{240} + \frac{1}{272} = \\2.5% of 90 =

Basic Answer

Step 1: Calculate 33⅓% of 78

33⅓% can be written as $\frac{1}{3}$.
$$\frac{1}{3}\times 78=26$$

Step 2: Calculate 55% of 84

55% can be written as $\frac{55}{100}$.
$$\frac{55}{100}\times 84=46.2$$

Step 3: Calculate $\frac{1}{210}+\frac{1}{240}+\frac{1}{272}$

First, find a common denominator. The least common multiple of 210, 240, and 272 is 210 × 240 × 272.
$$\frac{1}{210}=\frac{240\times 272}{210\times 240\times 272}$$
$$\frac{1}{240}=\frac{210\times 272}{210\times 240\times 272}$$
$$\frac{1}{272}=\frac{210\times 240}{210\times 240\times 272}$$
Add the fractions:
$$\frac{240\times 272+210\times 272+210\times 240}{210\times 240\times 272}$$
$$=\frac{240\times 272+210\times 272+210\times 240}{210\times 240\times 272}$$
$$=\frac{65280+57120+50400}{210\times 240\times 272}$$
$$=\frac{172800}{210\times 240\times 272}$$
$$=\frac{172800}{13689600}$$
$$=\frac{1}{79.22}$$

Step 4: Calculate 2.5% of 90

2.5% can be written as $\frac{2.5}{100}$.
$$\frac{2.5}{100}\times 90=2.25$$

Final Answer

$$33\frac{1}{3}\%\text{ of }78=26$$
$$55\%\text{ of }84=46.2$$
$$\frac{1}{210}+\frac{1}{240}+\frac{1}{272}=\frac{1}{79.22}$$
$$2.5\%\text{ of }90=2.25$$