What is (5.6)/(2^3+(12.75+7.45)) ?

The solution to (5.6)/(2^3+(12.75+7.45)) is 28/141

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simplify (5.6)/(2^3+(12.75+7.45))

simplify

\frac{5.6}{2 ^{3} + ( 12.75 + 7.45 )}

\frac{28}{141}

Decimal Notation

0.19858 \dots

Solution steps

\frac{5.6}{2 ^{3} + ( 12.75 + 7.45 )}

\frac{5.6}{2 ^{3} + ( 12.75 + 7.45 )} = \frac{56}{10 ( 2 ^{3} + ( 12.75 + 7.45 ) )}

= \frac{56}{10 ( 2 ^{3} + ( 12.75 + 7.45 ) )}

Apply rule:

a + (b + c) = a + b + c

2^{3} + (12.75 + 7.45) = 2^{3} + 12.75 + 7.45

= \frac{56}{10 ( 2 ^{3} + 12.75 + 7.45 )}

Add the numbers:

12.75 + 7.45 = 20.2

= \frac{56}{10 ( 2 ^{3} + 20.2 )}

Factor the number:

56 = 2 \cdot 28

= \frac{2 \cdot 28}{10 ( 2 ^{3} + 20.2 )}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 28}{2 \cdot 5 ( 2 ^{3} + 20.2 )}

Cancel the common factor:

2

= \frac{28}{5 ( 2 ^{3} + 20.2 )}

5 (2^{3} + 20.2) = 141

= \frac{28}{141}

\frac{5}{8} + \frac{11}{64}

\frac{\frac{25}{a} - a}{5 + a}

\frac{2}{3} - \frac{5}{2}

\frac{x y - y w + x z - z w}{x y + y w + x z + z w}

(6 x - 4 y)^{2}

What is (5.6)/(2^3+(12.75+7.45)) ?
The solution to (5.6)/(2^3+(12.75+7.45)) is 28/141