Solve 55/11-0.25-13/4

$$5 \frac { 5 } { 11 } - 0.25 - 1 \frac { 3 } { 4 }$$

Evaluate

$$\frac{38}{11}\approx 3.454545455$$

Solution Steps

Multiply 5 and 11 to get 55.

$$\frac{55+5}{11}-0.25-\frac{1\times 4+3}{4}$$

Add 55 and 5 to get 60.

$$\frac{60}{11}-0.25-\frac{1\times 4+3}{4}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{60}{11}-\frac{1}{4}-\frac{1\times 4+3}{4}$$

Least common multiple of 11 and 4 is 44. Convert \frac{60}{11} and \frac{1}{4} to fractions with denominator 44.

$$\frac{240}{44}-\frac{11}{44}-\frac{1\times 4+3}{4}$$

Since \frac{240}{44} and \frac{11}{44} have the same denominator, subtract them by subtracting their numerators.

$$\frac{240-11}{44}-\frac{1\times 4+3}{4}$$

Subtract 11 from 240 to get 229.

$$\frac{229}{44}-\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{229}{44}-\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{229}{44}-\frac{7}{4}$$

Least common multiple of 44 and 4 is 44. Convert \frac{229}{44} and \frac{7}{4} to fractions with denominator 44.

$$\frac{229}{44}-\frac{77}{44}$$

Since \frac{229}{44} and \frac{77}{44} have the same denominator, subtract them by subtracting their numerators.

$$\frac{229-77}{44}$$

Subtract 77 from 229 to get 152.

$$\frac{152}{44}$$

Reduce the fraction \frac{152}{44} to lowest terms by extracting and canceling out 4.

$$\frac{38}{11}$$

Factor

$$\frac{2 \cdot 19}{11} = 3\frac{5}{11} = 3.4545454545454546$$