What is (2\times 10)-(2 2/4)\times 5 ?

The solution to (2\times 10)-(2 2/4)\times 5 is 7 1/2

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(2\times 10)-(2 2/4)\times 5

Solution

(2 \cdot 10) - (2 \frac{2}{4}) \cdot 5

Solution

7 \frac{1}{2}

Solution steps

(2 \cdot 10) - (2 \frac{2}{4}) \cdot 5

Convert mixed numbers to improper fractions:

2 \frac{2}{4} = \frac{10}{4}

2 \frac{2}{4}

Convert mixed numbers to improper fraction:

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

2 \frac{2}{4} = \frac{2 \cdot 4 + 2}{4}

= \frac{10}{4}

= (2 \cdot 10) - (\frac{10}{4}) \cdot 5

\frac{10}{4} = \frac{5}{2}

Cancel the common factor:

2

\frac{5}{2}

= 2 \cdot 10 - \frac{5}{2} \cdot 5

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 \cdot 10 : 20

2 \cdot 10

2 \cdot 10 = 20

= 20

= 20 - \frac{5}{2} \cdot 5

Multiply and divide (left to right)

\frac{5}{2} \cdot 5 : \frac{25}{2}

\frac{5}{2} \cdot 5

Convert element to fraction:

5 = \frac{5}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

5 \cdot 5 = 25

= \frac{25}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{25}{2}

= 20 - \frac{25}{2}

Add and subtract (left to right)

20 - \frac{25}{2} : \frac{15}{2}

20 - \frac{25}{2}

20 - \frac{25}{2} = \frac{15}{2}

20 - \frac{25}{2}

Convert element to fraction:

20 = \frac{20 \cdot 2}{2}

= \frac{20 \cdot 2}{2} - \frac{25}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{20 \cdot 2 - 25}{2}

20 \cdot 2 - 25 = 15

20 \cdot 2 - 25

Multiply the numbers:

20 \cdot 2 = 40

= 40 - 25

Subtract the numbers:

40 - 25 = 15

= 15

= \frac{15}{2}

= \frac{15}{2}

= \frac{15}{2}

Convert improper fractions to mixed numbers:

\frac{15}{2} = 7 \frac{1}{2}

\frac{15}{2} = 7

Remainder

1

\frac{15}{2}

Write the problem in long division format

2 \overline{∣ 15}

Divide

15

2

to get

7

Divide

15

2

to get

7

7 2 \overline{∣ 15}

Multiply the quotient digit

(7)

by the divisor

2

7 2 \overline{∣ 15} \underline{14}

Subtract

14

from

15

7 2 \overline{∣ 15} \underline{14} 1

7 2 \overline{∣ 15} \underline{14} 1

The solution for Long Division of

\frac{15}{2}

7

with remainder of

1

7 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{15}{2} = 7 \frac{1}{2}

= 7 \frac{1}{2}

= 7 \frac{1}{2}

Popular Examples

-2^2+4^2

- 2^{2} + 4^{2}

2^3+6

2^{3} + 6

-2^2+4(-2)

- 2^{2} + 4 (- 2)

1/27+512+81-4/3+3375

\frac{1}{27} + 512 + 81 - \frac{4}{3} + 3375

3+1/5-3/10

3 + \frac{1}{5} - \frac{3}{10}

Frequently Asked Questions (FAQ)

What is (2\times 10)-(2 2/4)\times 5 ?
The solution to (2\times 10)-(2 2/4)\times 5 is 7 1/2