What is 84\div 360\times 2^2 ?

The solution to 84\div 360\times 2^2 is 14/15

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84\div 360\times 2^2

84 \div 360 \times 2^{2}

\frac{14}{15}

Solution steps

84 \div 360 \times 2^{2}

Follow the PEMDAS order of operations

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= 84 \div 360 \times 4

Multiply and divide (left to right)

84 \div 360 \times 4 : \frac{14}{15}

84 \div 360 \times 4

84 \div 360 = \frac{84}{360}

= \frac{84}{360} \times 4

\frac{84}{360} \times 4 = \frac{14}{15}

\frac{84}{360} \cdot 4

Cancel

\frac{84}{360} : \frac{7}{30}

\frac{84}{360}

Factor the number:

84 = 12 \cdot 7

= \frac{12 \cdot 7}{360}

Factor the number:

360 = 12 \cdot 30

= \frac{12 \cdot 7}{12 \cdot 30}

Cancel the common factor:

12

= \frac{7}{30}

= \frac{7}{30} \cdot 4

\frac{7}{30} \cdot 4 = \frac{14}{15}

\frac{7}{30} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{7}{30} \cdot \frac{4}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{7 \cdot 4}{30 \cdot 1}

Cancel

\frac{7 \cdot 4}{30 \cdot 1} : \frac{14}{15}

\frac{7 \cdot 4}{30 \cdot 1}

Multiply the numbers:

30 \cdot 1 = 30

= \frac{7 \cdot 4}{30}

Factor the number:

4 = 2 \cdot 2

= \frac{7 \cdot 2 \cdot 2}{30}

Factor the number:

30 = 2 \cdot 15

= \frac{7 \cdot 2 \cdot 2}{2 \cdot 15}

Cancel the common factor:

2

= \frac{7 \cdot 2}{15}

Multiply the numbers:

7 \cdot 2 = 14

= \frac{14}{15}

= \frac{14}{15}

= \frac{14}{15}

= \frac{14}{15}

= \frac{14}{15}

(2 + 3 - 6) \cdot (3 - 5 + 4)

- (32) + (10) - (4 - 2)

2 + 13 \times 40

- 25 - (- (- 24 \times (- 5) + (- 5) - (- 12)))

5 - 3 \times 7 \div 12 + 8 \div 9 \times 3 + 3 - 11