Solve 7+4(-3/5+1.84

$$7+4(- \frac{ 3 }{ 5 } +1.84$$

Evaluate

$$11.96$$

Solution Steps

Convert decimal number 1.84 to fraction \frac{184}{100}. Reduce the fraction \frac{184}{100} to lowest terms by extracting and canceling out 4.

$$7+4\left(-\frac{3}{5}+\frac{46}{25}\right)$$

Least common multiple of 5 and 25 is 25. Convert -\frac{3}{5} and \frac{46}{25} to fractions with denominator 25.

$$7+4\left(-\frac{15}{25}+\frac{46}{25}\right)$$

Since -\frac{15}{25} and \frac{46}{25} have the same denominator, add them by adding their numerators.

$$7+4\times \frac{-15+46}{25}$$

Add -15 and 46 to get 31.

$$7+4\times \frac{31}{25}$$

Express 4\times \frac{31}{25} as a single fraction.

$$7+\frac{4\times 31}{25}$$

Multiply 4 and 31 to get 124.

$$7+\frac{124}{25}$$

Convert 7 to fraction \frac{175}{25}.

$$\frac{175}{25}+\frac{124}{25}$$

Since \frac{175}{25} and \frac{124}{25} have the same denominator, add them by adding their numerators.

$$\frac{175+124}{25}$$

Add 175 and 124 to get 299.

$$\frac{299}{25}$$

Factor

$$\frac{13 \cdot 23}{5 ^ {2}} = 11\frac{24}{25} = 11.96$$