What is 68600/103 \div 7-105 ?

The solution to 68600/103 \div 7-105 is -1015/103

68600/103 \div 7-105

\frac{68600}{103} \div 7 - 105

- \frac{1015}{103}

Decimal

- 9.85436 \dots

Solution steps

\frac{68600}{103} \div 7 - 105

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{68600}{103} \div 7 : \frac{9800}{103}

\frac{68600}{103} \div 7

Convert element to fraction:

7 = \frac{7}{1}

= \frac{68600}{103} \div \frac{7}{1}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{68600}{103} \cdot \frac{1}{7}

Cross-cancel common factor:

7

= \frac{9800}{103}

= \frac{9800}{103} - 105

Add and subtract (left to right)

\frac{9800}{103} - 105 : - \frac{1015}{103}

\frac{9800}{103} - 105

\frac{9800}{103} - 105 = - \frac{1015}{103}

\frac{9800}{103} - 105

Convert element to fraction:

105 = \frac{105 \cdot 103}{103}

= - \frac{105 \cdot 103}{103} + \frac{9800}{103}

Since the denominators are equal, combine the fractions:

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

= \frac{- 105 \cdot 103 + 9800}{103}

- 105 \cdot 103 + 9800 = - 1015

- 105 \cdot 103 + 9800

Multiply the numbers:

105 \cdot 103 = 10815

= - 10815 + 9800

Add/Subtract the numbers:

- 10815 + 9800 = - 1015

= - 1015

= \frac{- 1015}{103}

Apply the fraction rule:

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

= - \frac{1015}{103}

= - \frac{1015}{103}

= - \frac{1015}{103}

What is 68600/103 \div 7-105 ?
The solution to 68600/103 \div 7-105 is -1015/103