Solve 10/0.3423+61.4

$$\frac{ 10 }{ 0.342 } 3+61.4$$

Evaluate

$$\frac{42499}{285}\approx 149.119298246$$

Solution Steps

Expand \frac{10}{0.342} by multiplying both numerator and the denominator by 1000.

$$\frac{10000}{342}\times 3+61.4$$

Reduce the fraction \frac{10000}{342} to lowest terms by extracting and canceling out 2.

$$\frac{5000}{171}\times 3+61.4$$

Express \frac{5000}{171}\times 3 as a single fraction.

$$\frac{5000\times 3}{171}+61.4$$

Multiply 5000 and 3 to get 15000.

$$\frac{15000}{171}+61.4$$

Reduce the fraction \frac{15000}{171} to lowest terms by extracting and canceling out 3.

$$\frac{5000}{57}+61.4$$

Convert decimal number 61.4 to fraction \frac{614}{10}. Reduce the fraction \frac{614}{10} to lowest terms by extracting and canceling out 2.

$$\frac{5000}{57}+\frac{307}{5}$$

Least common multiple of 57 and 5 is 285. Convert \frac{5000}{57} and \frac{307}{5} to fractions with denominator 285.

$$\frac{25000}{285}+\frac{17499}{285}$$

Since \frac{25000}{285} and \frac{17499}{285} have the same denominator, add them by adding their numerators.

$$\frac{25000+17499}{285}$$

Add 25000 and 17499 to get 42499.

$$\frac{42499}{285}$$

Factor

$$\frac{42499}{3 \cdot 5 \cdot 19} = 149\frac{34}{285} = 149.11929824561403$$