What is 801*(1+1/3) ?

The solution to 801*(1+1/3) is 1068

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801*(1+1/3)

801 \cdot (1 + \frac{1}{3})

1068

Solution steps

801 (1 + \frac{1}{3})

Follow the PEMDAS order of operations

Calculate within parentheses

(1 + \frac{1}{3}) : \frac{4}{3}

1 + \frac{1}{3}

1 + \frac{1}{3} = \frac{4}{3}

1 + \frac{1}{3}

Convert element to fraction:

1 = \frac{1 \cdot 3}{3}

= \frac{1 \cdot 3}{3} + \frac{1}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 3 + 1}{3}

1 \cdot 3 + 1 = 4

1 \cdot 3 + 1

Multiply the numbers:

1 \cdot 3 = 3

= 3 + 1

Add the numbers:

3 + 1 = 4

= 4

= \frac{4}{3}

= \frac{4}{3}

= 801 \cdot \frac{4}{3}

Multiply and divide (left to right)

801 \cdot \frac{4}{3} : 1068

801 \cdot \frac{4}{3}

Convert element to fraction:

801 = \frac{801}{1}

= \frac{801}{1} \cdot \frac{4}{3}

Apply the fraction rule:

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

= \frac{801 \cdot 4}{1 \cdot 3}

Cancel

\frac{801 \cdot 4}{1 \cdot 3} : 1068

\frac{801 \cdot 4}{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{801 \cdot 4}{3}

Divide the numbers:

\frac{801}{3} = 267

= 267 \cdot 4

Multiply the numbers:

267 \cdot 4 = 1068

= 1068

= 1068

= 1068

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(- 10) + 35 + 176