Solve left|9.8-9.837/9.8right|*100

$$\left| \frac{ 9.8-9.837 }{ 9.8 } \right| \times 100$$

Evaluate

$$\frac{37}{98}\approx 0.37755102$$

Solution Steps

Subtract 9.837 from 9.8 to get -0.037.

$$|\frac{-0.037}{9.8}|\times 100$$

Expand \frac{-0.037}{9.8} by multiplying both numerator and the denominator by 1000.

$$|\frac{-37}{9800}|\times 100$$

Fraction \frac{-37}{9800} can be rewritten as -\frac{37}{9800} by extracting the negative sign.

$$|-\frac{37}{9800}|\times 100$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{37}{9800} is \frac{37}{9800}.

$$\frac{37}{9800}\times 100$$

Express \frac{37}{9800}\times 100 as a single fraction.

$$\frac{37\times 100}{9800}$$

Multiply 37 and 100 to get 3700.

$$\frac{3700}{9800}$$

Reduce the fraction \frac{3700}{9800} to lowest terms by extracting and canceling out 100.

$$\frac{37}{98}$$

Factor

$$\frac{37}{2 \cdot 7 ^ {2}} = 0.37755102040816324$$