Solve 1.1252/3-0.5=

$$1.125 \frac{ 2 }{ 3 } -0.5=$$

Evaluate

$$\frac{31}{24}\approx 1.291666667$$

Solution Steps

Multiply 1.125 and 3 to get 3.375.

$$\frac{3.375+2}{3}-0.5$$

Add 3.375 and 2 to get 5.375.

$$\frac{5.375}{3}-0.5$$

Expand \frac{5.375}{3} by multiplying both numerator and the denominator by 1000.

$$\frac{5375}{3000}-0.5$$

Reduce the fraction \frac{5375}{3000} to lowest terms by extracting and canceling out 125.

$$\frac{43}{24}-0.5$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{43}{24}-\frac{1}{2}$$

Least common multiple of 24 and 2 is 24. Convert \frac{43}{24} and \frac{1}{2} to fractions with denominator 24.

$$\frac{43}{24}-\frac{12}{24}$$

Since \frac{43}{24} and \frac{12}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{43-12}{24}$$

Subtract 12 from 43 to get 31.

$$\frac{31}{24}$$

Factor

$$\frac{31}{3 \cdot 2 ^ {3}} = 1\frac{7}{24} = 1.2916666666666667$$