Solve 3.875-2/3-21/4

$$3.875- \frac{ 2 }{ 3 } -2 \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{23}{24}\approx 0.958333333$$

Solution Steps

Convert decimal number 3.875 to fraction \frac{3875}{1000}. Reduce the fraction \frac{3875}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{31}{8}-\frac{2}{3}-\frac{2\times 4+1}{4}$$

Least common multiple of 8 and 3 is 24. Convert \frac{31}{8} and \frac{2}{3} to fractions with denominator 24.

$$\frac{93}{24}-\frac{16}{24}-\frac{2\times 4+1}{4}$$

Since \frac{93}{24} and \frac{16}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{93-16}{24}-\frac{2\times 4+1}{4}$$

Subtract 16 from 93 to get 77.

$$\frac{77}{24}-\frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{77}{24}-\frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{77}{24}-\frac{9}{4}$$

Least common multiple of 24 and 4 is 24. Convert \frac{77}{24} and \frac{9}{4} to fractions with denominator 24.

$$\frac{77}{24}-\frac{54}{24}$$

Since \frac{77}{24} and \frac{54}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{77-54}{24}$$

Subtract 54 from 77 to get 23.

$$\frac{23}{24}$$

Factor

$$\frac{23}{3 \cdot 2 ^ {3}} = 0.9583333333333334$$