Solve 66/11-4.2=

$$6 \frac { 6 } { 11 } - 4.2 =$$

Evaluate

$$\frac{129}{55}\approx 2.345454545$$

Solution Steps

Multiply 6 and 11 to get 66.

$$\frac{66+6}{11}-4.2$$

Add 66 and 6 to get 72.

$$\frac{72}{11}-4.2$$

Convert decimal number 4.2 to fraction \frac{42}{10}. Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$\frac{72}{11}-\frac{21}{5}$$

Least common multiple of 11 and 5 is 55. Convert \frac{72}{11} and \frac{21}{5} to fractions with denominator 55.

$$\frac{360}{55}-\frac{231}{55}$$

Since \frac{360}{55} and \frac{231}{55} have the same denominator, subtract them by subtracting their numerators.

$$\frac{360-231}{55}$$

Subtract 231 from 360 to get 129.

$$\frac{129}{55}$$

Factor

$$\frac{3 \cdot 43}{5 \cdot 11} = 2\frac{19}{55} = 2.3454545454545452$$