What is 100(1+5/100) ?

The solution to 100(1+5/100) is 105

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100(1+5/100)

100 (1 + \frac{5}{100})

105

Solution steps

100 (1 + \frac{5}{100})

\frac{5}{100} = \frac{1}{20}

Cancel the common factor:

5

\frac{1}{20}

= 100 (1 + \frac{1}{20})

Follow the PEMDAS order of operations

Calculate within parentheses

(1 + \frac{1}{20}) : \frac{21}{20}

1 + \frac{1}{20}

1 + \frac{1}{20} = \frac{21}{20}

1 + \frac{1}{20}

Convert element to fraction:

1 = \frac{1 \cdot 20}{20}

= \frac{1 \cdot 20}{20} + \frac{1}{20}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 20 + 1}{20}

1 \cdot 20 + 1 = 21

1 \cdot 20 + 1

Multiply the numbers:

1 \cdot 20 = 20

= 20 + 1

Add the numbers:

20 + 1 = 21

= 21

= \frac{21}{20}

= \frac{21}{20}

= 100 \cdot \frac{21}{20}

Multiply and divide (left to right)

100 \cdot \frac{21}{20} : 105

100 \cdot \frac{21}{20}

Convert element to fraction:

100 = \frac{100}{1}

= \frac{100}{1} \cdot \frac{21}{20}

Apply the fraction rule:

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

= \frac{100 \cdot 21}{1 \cdot 20}

Cancel

\frac{100 \cdot 21}{1 \cdot 20} : 105

\frac{100 \cdot 21}{1 \cdot 20}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{100 \cdot 21}{20}

Divide the numbers:

\frac{100}{20} = 5

= 5 \cdot 21

Multiply the numbers:

5 \cdot 21 = 105

= 105

= 105

= 105

40 - 4^{2}

\frac{1}{2} (- 1) + 5

- \frac{2}{5} (4)^{1}

- \frac{2}{5} (4)^{0}

28 - 12 \div 4 \cdot 2