What is 7 1/5+2-1 1/5 ?

The solution to 7 1/5+2-1 1/5 is 8

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7 1/5+2-1 1/5

7 \frac{1}{5} + 2 - 1 \frac{1}{5}

8

Solution steps

7 \frac{1}{5} + 2 - 1 \frac{1}{5}

Convert mixed numbers to improper fractions:

7 \frac{1}{5} = \frac{36}{5}

7 \frac{1}{5}

Convert mixed numbers to improper fraction:

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

7 \frac{1}{5} = \frac{7 \cdot 5 + 1}{5}

= \frac{36}{5}

= \frac{36}{5} + 2 - 1 \frac{1}{5}

Convert mixed numbers to improper fractions:

1 \frac{1}{5} = \frac{6}{5}

1 \frac{1}{5}

Convert mixed numbers to improper fraction:

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

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

= \frac{6}{5}

= \frac{36}{5} + 2 - \frac{6}{5}

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{36}{5} + 2 - \frac{6}{5} : 8

\frac{36}{5} + 2 - \frac{6}{5}

\frac{36}{5} + 2 = \frac{46}{5}

\frac{36}{5} + 2

Convert element to fraction:

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

= \frac{2 \cdot 5}{5} + \frac{36}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{2 \cdot 5 + 36}{5}

2 \cdot 5 + 36 = 46

2 \cdot 5 + 36

Multiply the numbers:

2 \cdot 5 = 10

= 10 + 36

Add the numbers:

10 + 36 = 46

= 46

= \frac{46}{5}

= \frac{46}{5} - \frac{6}{5}

\frac{46}{5} - \frac{6}{5} = 8

\frac{46}{5} - \frac{6}{5}

Apply rule

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

= \frac{46 - 6}{5}

Subtract the numbers:

46 - 6 = 40

= \frac{40}{5}

Divide the numbers:

\frac{40}{5} = 8

= 8

= 8

= 8

4 (10 - 5) \div 2

4 (11 + 7) - 9 \cdot 8

5 \div 5 + 3 \div 5 - 7 \div 10

90 + [(45 - 23 \times 2 + 5) \times 4]

4^{5} - 4