What is 5(1/5)+(1/5)(15) ?

The solution to 5(1/5)+(1/5)(15) is 4

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5(1/5)+(1/5)(15)

5 (\frac{1}{5}) + (\frac{1}{5}) (15)

4

Solution steps

5 (\frac{1}{5}) + (\frac{1}{5}) (15)

Follow the PEMDAS order of operations

Multiply and divide (left to right)

5 (\frac{1}{5}) : 1

5 (\frac{1}{5})

Apply rule:

(a) = a

(\frac{1}{5}) = \frac{1}{5}

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

Convert element to fraction:

5 = \frac{5}{1}

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

Cross-cancel common factor:

5

= 1

= 1 + (\frac{1}{5}) (15)

Multiply and divide (left to right)

(\frac{1}{5}) (15) : 3

(\frac{1}{5}) (15)

(\frac{1}{5}) (15) = \frac{1}{5} \cdot 15

(\frac{1}{5}) (15)

Apply rule:

(a) = a

(\frac{1}{5}) = \frac{1}{5}

= \frac{1}{5} (15)

Apply rule:

(a) = a

(15) = 15

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

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

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

\frac{1}{5} \cdot 15

Convert element to fraction:

15 = \frac{15}{1}

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

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

\frac{1 \cdot 15}{5 \cdot 1}

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

\frac{1 \cdot 15}{5 \cdot 1}

Multiply the numbers:

1 \cdot 15 = 15

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

Multiply the numbers:

5 \cdot 1 = 5

= \frac{15}{5}

= \frac{15}{5}

Divide the numbers:

\frac{15}{5} = 3

= 3

= 3

= 3

= 1 + 3

Add and subtract (left to right)

1 + 3 : 4

1 + 3

1 + 3 = 4

= 4

= 4

- 4^{2} + 4 (4)

10 - (5 + 5) - 3 + (15 + 18) - 6

5/9 + (4/9 - 7/11)

4 - 9 - 2

(14 + 8^{2}) \div 2 - 10