What is 1/2 (1+4/5) ?

The solution to 1/2 (1+4/5) is 9/10

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1/2 (1+4/5)

\frac{1}{2} (1 + \frac{4}{5})

\frac{9}{10}

Solution steps

\frac{1}{2} (1 + \frac{4}{5})

Follow the PEMDAS order of operations

Calculate within parentheses

(1 + \frac{4}{5}) : \frac{9}{5}

1 + \frac{4}{5}

1 + \frac{4}{5} = \frac{9}{5}

1 + \frac{4}{5}

Convert element to fraction:

1 = \frac{1 \cdot 5}{5}

= \frac{1 \cdot 5}{5} + \frac{4}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 5 + 4}{5}

1 \cdot 5 + 4 = 9

1 \cdot 5 + 4

Multiply the numbers:

1 \cdot 5 = 5

= 5 + 4

Add the numbers:

5 + 4 = 9

= 9

= \frac{9}{5}

= \frac{9}{5}

= \frac{1}{2} \cdot \frac{9}{5}

Multiply and divide (left to right)

\frac{1}{2} \cdot \frac{9}{5} : \frac{9}{10}

\frac{1}{2} \cdot \frac{9}{5}

Apply the fraction rule:

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

= \frac{1 \cdot 9}{2 \cdot 5}

Multiply the numbers:

1 \cdot 9 = 9

= \frac{9}{2 \cdot 5}

Multiply the numbers:

2 \cdot 5 = 10

= \frac{9}{10}

= \frac{9}{10}

\frac{( 3 ) ^{4} - 81}{( 3 ) ^{2} + 8 ( 3 ) + 15}

[(3 - 5 (2 - 4) + 10 \div (- 3 - 2))]

10 + 2 (9 - 5) - \frac{16}{8}

90 - (25 + (5 \times 2 - 1) + 3)

10 - (10 - (- 10 - (- 10) + 10) - 10 + 10 + 100)