What is 1/9 \times 15+5\div 3 ?

The solution to 1/9 \times 15+5\div 3 is 3 1/3

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Popular >

1/9 \times 15+5\div 3

Solution

\frac{1}{9} \times 15 + 5 \div 3

Solution

3 \frac{1}{3}

Solution steps

\frac{1}{9} \times 15 + 5 \div 3

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{9} \times 15 : \frac{5}{3}

\frac{1}{9} \times 15

Convert element to fraction:

15 = \frac{15}{1}

= \frac{1}{9} \cdot \frac{15}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 15}{9 \cdot 1}

\frac{1 \cdot 15}{9 \cdot 1} = \frac{5}{3}

\frac{1 \cdot 15}{9 \cdot 1}

\frac{1 \cdot 15}{9 \cdot 1} = \frac{15}{9}

\frac{1 \cdot 15}{9 \cdot 1}

Multiply the numbers:

1 \cdot 15 = 15

= \frac{15}{9 \cdot 1}

Multiply the numbers:

9 \cdot 1 = 9

= \frac{15}{9}

= \frac{15}{9}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 5}{9}

Factor the number:

9 = 3 \cdot 3

= \frac{3 \cdot 5}{3 \cdot 3}

Cancel the common factor:

3

= \frac{5}{3}

= \frac{5}{3}

= \frac{5}{3} + 5 \div 3

Multiply and divide (left to right)

5 \div 3 : \frac{5}{3}

5 \div 3

5 \div 3 = \frac{5}{3}

= \frac{5}{3}

= \frac{5}{3} + \frac{5}{3}

Add and subtract (left to right)

\frac{5}{3} + \frac{5}{3} : \frac{10}{3}

\frac{5}{3} + \frac{5}{3}

\frac{5}{3} + \frac{5}{3} = \frac{10}{3}

\frac{5}{3} + \frac{5}{3}

Apply rule

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

= \frac{5 + 5}{3}

Add the numbers:

5 + 5 = 10

= \frac{10}{3}

= \frac{10}{3}

= \frac{10}{3}

Convert improper fractions to mixed numbers:

\frac{10}{3} = 3 \frac{1}{3}

\frac{10}{3} = 3

Remainder

1

\frac{10}{3}

Write the problem in long division format

3 \overline{∣ 10}

Divide

10

3

to get

3

Divide

10

3

to get

3

3 3 \overline{∣ 10}

Multiply the quotient digit

(3)

by the divisor

3

3 3 \overline{∣ 10} \underline{9}

Subtract

9

from

10

3 3 \overline{∣ 10} \underline{9} 1

3 3 \overline{∣ 10} \underline{9} 1

The solution for Long Division of

\frac{10}{3}

3

with remainder of

1

3 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{10}{3} = 3 \frac{1}{3}

= 3 \frac{1}{3}

= 3 \frac{1}{3}

Popular Examples

45-(-32)+(-12)-(-7)

45 - (- 32) + (- 12) - (- 7)

7\times 2-(4+4)

7 \times 2 - (4 + 4)

3+1/3 \times 2

3 + \frac{1}{3} \times 2

3-3(1)

3 - 3 (1)

4/3+3-5/2

\frac{4}{3} + 3 - \frac{5}{2}

Frequently Asked Questions (FAQ)

What is 1/9 \times 15+5\div 3 ?
The solution to 1/9 \times 15+5\div 3 is 3 1/3