Solve 2.7+2.01-2.7/60*4

$$2.7 + \frac { 2.01 - 2.7 } { 60 } \times 4$$

Evaluate

$$2.654$$

Solution Steps

Subtract 2.7 from 2.01 to get -0.69.

$$2.7+\frac{-0.69}{60}\times 4$$

Expand \frac{-0.69}{60} by multiplying both numerator and the denominator by 100.

$$2.7+\frac{-69}{6000}\times 4$$

Reduce the fraction \frac{-69}{6000} to lowest terms by extracting and canceling out 3.

$$2.7-\frac{23}{2000}\times 4$$

Express -\frac{23}{2000}\times 4 as a single fraction.

$$2.7+\frac{-23\times 4}{2000}$$

Multiply -23 and 4 to get -92.

$$2.7+\frac{-92}{2000}$$

Reduce the fraction \frac{-92}{2000} to lowest terms by extracting and canceling out 4.

$$2.7-\frac{23}{500}$$

Convert decimal number 2.7 to fraction \frac{27}{10}.

$$\frac{27}{10}-\frac{23}{500}$$

Least common multiple of 10 and 500 is 500. Convert \frac{27}{10} and \frac{23}{500} to fractions with denominator 500.

$$\frac{1350}{500}-\frac{23}{500}$$

Since \frac{1350}{500} and \frac{23}{500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1350-23}{500}$$

Subtract 23 from 1350 to get 1327.

$$\frac{1327}{500}$$

Factor

$$\frac{1327}{2 ^ {2} \cdot 5 ^ {3}} = 2\frac{327}{500} = 2.654$$