Solve 8-1/4*7.077

$$8 - 1 / 4 * 7.077$$

Evaluate

$$6.23075$$

Solution Steps

Convert decimal number 7.077 to fraction \frac{7077}{1000}.

$$8-\frac{1}{4}\times \frac{7077}{1000}$$

Multiply \frac{1}{4} times \frac{7077}{1000} by multiplying numerator times numerator and denominator times denominator.

$$8-\frac{1\times 7077}{4\times 1000}$$

Do the multiplications in the fraction \frac{1\times 7077}{4\times 1000}.

$$8-\frac{7077}{4000}$$

Convert 8 to fraction \frac{32000}{4000}.

$$\frac{32000}{4000}-\frac{7077}{4000}$$

Since \frac{32000}{4000} and \frac{7077}{4000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32000-7077}{4000}$$

Subtract 7077 from 32000 to get 24923.

$$\frac{24923}{4000}$$

Factor

$$\frac{24923}{2 ^ {5} \cdot 5 ^ {3}} = 6\frac{923}{4000} = 6.23075$$