Solve 9.78-9.85/9.78*100

$$\frac{ 9.78-9.85 }{ 9.78 } \times 100$$

Evaluate

$$-\frac{350}{489}\approx -0.715746421$$

Solution Steps

Subtract 9.85 from 9.78 to get -0.07.

$$\frac{-0.07}{9.78}\times 100$$

Expand \frac{-0.07}{9.78} by multiplying both numerator and the denominator by 100.

$$\frac{-7}{978}\times 100$$

Fraction \frac{-7}{978} can be rewritten as -\frac{7}{978} by extracting the negative sign.

$$-\frac{7}{978}\times 100$$

Express -\frac{7}{978}\times 100 as a single fraction.

$$\frac{-7\times 100}{978}$$

Multiply -7 and 100 to get -700.

$$\frac{-700}{978}$$

Reduce the fraction \frac{-700}{978} to lowest terms by extracting and canceling out 2.

$$-\frac{350}{489}$$

Factor

$$-\frac{350}{489} = -0.7157464212678937$$