What is 5\times (-3/10)+1/4 ?

The solution to 5\times (-3/10)+1/4 is -5/4

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Popular >

5\times (-3/10)+1/4

Solution

5 \times (- 3/10) + 1/4

Solution

- \frac{5}{4}

Solution steps

5 \times (- 3/10) + 1/4

Follow the PEMDAS order of operations

Calculate within parentheses

(- 3/10) : \frac{- 3}{10}

- 3/10

- 3/10 = \frac{- 3}{10}

= \frac{- 3}{10}

= 5 \times \frac{- 3}{10} + 1/4

Multiply and divide (left to right)

5 \times \frac{- 3}{10} : - \frac{3}{2}

5 \times \frac{- 3}{10}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

\frac{- 3}{10} = - \frac{3}{10}

= 5 (- \frac{3}{10})

Apply rule:

a (- b) = - ab

5 (- \frac{3}{10}) = - 5 \cdot \frac{3}{10}

= - 5 \cdot \frac{3}{10}

- 5 \cdot \frac{3}{10} = - \frac{3}{2}

- 5 \cdot \frac{3}{10}

Convert element to fraction:

5 = \frac{5}{1}

= - \frac{5}{1} \cdot \frac{3}{10}

Apply the fraction rule:

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

\frac{5}{1} \cdot \frac{3}{10} = \frac{5 \cdot 3}{1 \cdot 10}

= - \frac{5 \cdot 3}{1 \cdot 10}

\frac{5 \cdot 3}{1 \cdot 10} = \frac{3}{2}

\frac{5 \cdot 3}{1 \cdot 10}

Multiply the numbers:

1 \cdot 10 = 10

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

Factor the number:

10 = 5 \cdot 2

= \frac{5 \cdot 3}{5 \cdot 2}

Cancel the common factor:

5

= \frac{3}{2}

= - \frac{3}{2}

= - \frac{3}{2}

= - \frac{3}{2} + 1/4

Multiply and divide (left to right)

1/4 : \frac{1}{4}

1/4

1/4 = \frac{1}{4}

= \frac{1}{4}

= - \frac{3}{2} + \frac{1}{4}

Add and subtract (left to right)

- \frac{3}{2} + \frac{1}{4} : - \frac{5}{4}

- \frac{3}{2} + \frac{1}{4}

- \frac{3}{2} + \frac{1}{4} = - \frac{5}{4}

- \frac{3}{2} + \frac{1}{4}

Least Common Multiplier of

2, 4 : 4

2, 4

Least Common Multiplier (LCM)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

Multiply each factor the greatest number of times it occurs in either

2

4

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Adjust Fractions based on the LCM

Multiply each numerator by the same amount needed to multiply its

corresponding denominator to turn it into the LCM

4

For

\frac{3}{2} :

multiply the denominator and numerator by

2

\frac{3}{2} = \frac{3 \cdot 2}{2 \cdot 2} = \frac{6}{4}

= - \frac{6}{4} + \frac{1}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{- 6 + 1}{4}

Add/Subtract the numbers:

- 6 + 1 = - 5

= \frac{- 5}{4}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{5}{4}

= - \frac{5}{4}

= - \frac{5}{4}

Popular Examples

2+3-7-4+5-8+6-1

2 + 3 - 7 - 4 + 5 - 8 + 6 - 1

4+45/35-5+15/35

4 + \frac{45}{35} - 5 + \frac{15}{35}

10^5\div 5^{10}

1 0^{5} \div 5^{10}

(2^4\times 3^4\times 6^4)+5^0

(2^{4} \times 3^{4} \times 6^{4}) + 5^{0}

4\times 3-2^2\times 4+7-3

4 \times 3 - 2^{2} \times 4 + 7 - 3

Frequently Asked Questions (FAQ)

What is 5\times (-3/10)+1/4 ?
The solution to 5\times (-3/10)+1/4 is -5/4