Solve 6*1/4*0.25+0.75-0.3125

$$6 \times \frac{ 1 }{ 4 } \times 0.25+0.75-0.3125$$

Evaluate

$$0.8125$$

Solution Steps

Multiply 6 and \frac{1}{4} to get \frac{6}{4}.

$$\frac{6}{4}\times 0.25+0.75-0.3125$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}\times 0.25+0.75-0.3125$$

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.

$$\frac{3}{2}\times \frac{1}{4}+0.75-0.3125$$

Multiply \frac{3}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{2\times 4}+0.75-0.3125$$

Do the multiplications in the fraction \frac{3\times 1}{2\times 4}.

$$\frac{3}{8}+0.75-0.3125$$

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3}{8}+\frac{3}{4}-0.3125$$

Least common multiple of 8 and 4 is 8. Convert \frac{3}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{3}{8}+\frac{6}{8}-0.3125$$

Since \frac{3}{8} and \frac{6}{8} have the same denominator, add them by adding their numerators.

$$\frac{3+6}{8}-0.3125$$

Add 3 and 6 to get 9.

$$\frac{9}{8}-0.3125$$

Convert decimal number 0.3125 to fraction \frac{3125}{10000}. Reduce the fraction \frac{3125}{10000} to lowest terms by extracting and canceling out 625.

$$\frac{9}{8}-\frac{5}{16}$$

Least common multiple of 8 and 16 is 16. Convert \frac{9}{8} and \frac{5}{16} to fractions with denominator 16.

$$\frac{18}{16}-\frac{5}{16}$$

Since \frac{18}{16} and \frac{5}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-5}{16}$$

Subtract 5 from 18 to get 13.

$$\frac{13}{16}$$

Factor

$$\frac{13}{2 ^ {4}} = 0.8125$$