Solve 0.94-1/7(.592)-6/7(296)

$$0.94 - \frac { 1 } { 7 } ( .592 ) - \frac { 6 } { 7 } ( 296 )$$

Evaluate

$$-\frac{442503}{1750}\approx -252.858857143$$

Solution Steps

Convert decimal number 0.592 to fraction \frac{592}{1000}. Reduce the fraction \frac{592}{1000} to lowest terms by extracting and canceling out 8.

$$0.94-\frac{1}{7}\times \frac{74}{125}-\frac{6}{7}\times 296$$

Multiply \frac{1}{7} times \frac{74}{125} by multiplying numerator times numerator and denominator times denominator.

$$0.94-\frac{1\times 74}{7\times 125}-\frac{6}{7}\times 296$$

Do the multiplications in the fraction \frac{1\times 74}{7\times 125}.

$$0.94-\frac{74}{875}-\frac{6}{7}\times 296$$

Convert decimal number 0.94 to fraction \frac{94}{100}. Reduce the fraction \frac{94}{100} to lowest terms by extracting and canceling out 2.

$$\frac{47}{50}-\frac{74}{875}-\frac{6}{7}\times 296$$

Least common multiple of 50 and 875 is 1750. Convert \frac{47}{50} and \frac{74}{875} to fractions with denominator 1750.

$$\frac{1645}{1750}-\frac{148}{1750}-\frac{6}{7}\times 296$$

Since \frac{1645}{1750} and \frac{148}{1750} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1645-148}{1750}-\frac{6}{7}\times 296$$

Subtract 148 from 1645 to get 1497.

$$\frac{1497}{1750}-\frac{6}{7}\times 296$$

Express \frac{6}{7}\times 296 as a single fraction.

$$\frac{1497}{1750}-\frac{6\times 296}{7}$$

Multiply 6 and 296 to get 1776.

$$\frac{1497}{1750}-\frac{1776}{7}$$

Least common multiple of 1750 and 7 is 1750. Convert \frac{1497}{1750} and \frac{1776}{7} to fractions with denominator 1750.

$$\frac{1497}{1750}-\frac{444000}{1750}$$

Since \frac{1497}{1750} and \frac{444000}{1750} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1497-444000}{1750}$$

Subtract 444000 from 1497 to get -442503.

$$-\frac{442503}{1750}$$

Factor

$$-\frac{442503}{1750} = -252\frac{1503}{1750} = -252.85885714285715$$