Solve 2.5/2.75=16/(1-6)125Rightarrow

$$\frac { 2.5 } { 2.75 } = \frac { 16 } { ( 1 - 6 ) 125 } \Rightarrow$$

Verify

Solution Steps

Expand \frac{2.5}{2.75} by multiplying both numerator and the denominator by 100.

$$\frac{250}{275}=\frac{16}{\left(1-6\right)\times 125}$$

Reduce the fraction \frac{250}{275} to lowest terms by extracting and canceling out 25.

$$\frac{10}{11}=\frac{16}{\left(1-6\right)\times 125}$$

Subtract 6 from 1 to get -5.

$$\frac{10}{11}=\frac{16}{-5\times 125}$$

Multiply -5 and 125 to get -625.

$$\frac{10}{11}=\frac{16}{-625}$$

Fraction \frac{16}{-625} can be rewritten as -\frac{16}{625} by extracting the negative sign.

$$\frac{10}{11}=-\frac{16}{625}$$

Least common multiple of 11 and 625 is 6875. Convert \frac{10}{11} and -\frac{16}{625} to fractions with denominator 6875.

$$\frac{6250}{6875}=-\frac{176}{6875}$$

Compare \frac{6250}{6875} and -\frac{176}{6875}.

$$\text{false}$$