What is 14.85%(1-4%) ?

The solution to 14.85%(1-4%) is 891/6250

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Popular >

simplify 14.85%(1-4%)

Solution

simplify

14.85% (1 - 4%)

Solution

\frac{891}{6250}

Decimal Notation

0.14256

Solution steps

14.85% (1 - 4%)

Convert

14.85%

into a fraction:

\frac{14.85}{100}

14.85%

Rewrite

14.85%

\frac{14.85}{100}

= \frac{14.85}{100}

= \frac{14.85}{100} (1 - 4%)

Divide the numbers:

\frac{14.85}{100} = 0.1485

= 0.1485 (1 - 4%)

= 0.1485 (1 - 4% \cdot 1)

4% \cdot 1 = \frac{1}{25}

4% \cdot 1

Convert

4%

into a fraction:

\frac{4}{100}

4%

Rewrite

4%

\frac{4}{100}

= \frac{4}{100}

= \frac{4}{100} \cdot 1

\frac{4}{100} \cdot 1 = \frac{1}{25}

\frac{4}{100} \cdot 1

Multiply the numbers:

\frac{4}{100} \cdot 1 = \frac{4}{100}

= \frac{4}{100}

Cancel the numbers:

\frac{4}{100} = \frac{1}{25}

= \frac{1}{25}

= \frac{1}{25}

= 0.1485 (1 - \frac{1}{25})

1 - \frac{1}{25} = \frac{24}{25}

1 - \frac{1}{25}

Convert

1

to fraction

: \frac{25}{25}

1

Apply the fraction rule:

a = \frac{ab}{b}

= \frac{1 \cdot 25}{25}

Multiply the numbers:

1 \cdot 25 = 25

= \frac{25}{25}

= \frac{25}{25} - \frac{1}{25}

\frac{25}{25} - \frac{1}{25} = \frac{24}{25}

\frac{25}{25} - \frac{1}{25}

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{25 - 1}{25}

Subtract the numbers:

25 - 1 = 24

= \frac{24}{25}

= \frac{24}{25}

= 0.1485 \cdot \frac{24}{25}

0.1485 = \frac{297}{2000}

0.1485

Multiply and divide by 10 for every number after the decimal point.

There are

4

digits to the right of the decimal point, therefore multiply and divide by

10000

= \frac{10000 \cdot 0.1485}{10000}

Multiply the numbers:

10000 \cdot 0.1485 = 1485

= \frac{1485}{10000}

Cancel

\frac{1485}{10000} : \frac{297}{2000}

\frac{1485}{10000}

Factor the number:

1485 = 5 \cdot 297

= \frac{5 \cdot 297}{10000}

Factor the number:

10000 = 5 \cdot 2000

= \frac{5 \cdot 297}{5 \cdot 2000}

Cancel the common factor:

5

= \frac{297}{2000}

= \frac{297}{2000}

= \frac{297}{2000} \cdot \frac{24}{25}

\frac{297}{2000} \cdot \frac{24}{25} = \frac{891}{6250}

\frac{297}{2000} \cdot \frac{24}{25}

Apply the fraction rule:

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

= \frac{297 \cdot 24}{2000 \cdot 25}

Cancel

\frac{297 \cdot 24}{2000 \cdot 25} : \frac{891}{6250}

\frac{297 \cdot 24}{2000 \cdot 25}

Factor the number:

24 = 8 \cdot 3

= \frac{297 \cdot 8 \cdot 3}{2000 \cdot 25}

Factor the number:

2000 = 8 \cdot 250

= \frac{297 \cdot 8 \cdot 3}{8 \cdot 250 \cdot 25}

Cancel the common factor:

8

= \frac{297 \cdot 3}{250 \cdot 25}

\frac{297 \cdot 3}{250 \cdot 25} = \frac{891}{6250}

\frac{297 \cdot 3}{250 \cdot 25}

Multiply the numbers:

297 \cdot 3 = 891

= \frac{891}{250 \cdot 25}

Multiply the numbers:

250 \cdot 25 = 6250

= \frac{891}{6250}

= \frac{891}{6250}

= \frac{891}{6250}

= \frac{891}{6250}

Popular Examples

13^2+18^2

1 3^{2} + 1 8^{2}

10(1)^2

10 (1)^{2}

9\times 10^3

9 \times 1 0^{3}

7+4(67-11)-24

7 + 4 (67 - 11) - 24

1500+(-3450)+2500+(-1500)

1500 + (- 3450) + 2500 + (- 1500)

Frequently Asked Questions (FAQ)

What is 14.85%(1-4%) ?
The solution to 14.85%(1-4%) is 891/6250