Question

Write an expression that is equivalent to -15.66 / 5.8. Then, find the quotient.

Answer 1

Express the decimal numbers as fractions:

-15.66 =

First, write the decimal as a fraction with a denominator = 1

-15.66/1

Multiply the numerator and denominator by 10^2

-1566/100 = -783/50

Same for the other number:

5.8

5.8/1 = 58/10 = 29/5

Equivalent expression:

-783/50 / ( 29/5)

Quotient:

-783/50 x 5/29 = - 3915/1450 = -27/10 = -2.7