Solve 74.5+3/234

$$74.5+ \frac{ 3 }{ 23 } 4$$

Evaluate

$$\frac{3451}{46}\approx 75.02173913$$

Solution Steps

Express \frac{3}{23}\times 4 as a single fraction.

$$74.5+\frac{3\times 4}{23}$$

Multiply 3 and 4 to get 12.

$$74.5+\frac{12}{23}$$

Convert decimal number 74.5 to fraction \frac{745}{10}. Reduce the fraction \frac{745}{10} to lowest terms by extracting and canceling out 5.

$$\frac{149}{2}+\frac{12}{23}$$

Least common multiple of 2 and 23 is 46. Convert \frac{149}{2} and \frac{12}{23} to fractions with denominator 46.

$$\frac{3427}{46}+\frac{24}{46}$$

Since \frac{3427}{46} and \frac{24}{46} have the same denominator, add them by adding their numerators.

$$\frac{3427+24}{46}$$

Add 3427 and 24 to get 3451.

$$\frac{3451}{46}$$

Factor

$$\frac{7 \cdot 17 \cdot 29}{2 \cdot 23} = 75\frac{1}{46} = 75.02173913043478$$