Solve (300/7+450/7.04)/10+2.42

$$( 300 / 7 + 450 / 7.04 ) / 10 + 2.42$$

Evaluate

$$\frac{2437}{350}\approx 6.962857143$$

Solution Steps

Convert decimal number 0.04 to fraction \frac{4}{100}. Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{300}{7}+\frac{450}{7}\times \frac{1}{25}}{10}+2.42$$

Multiply \frac{450}{7} times \frac{1}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{300}{7}+\frac{450\times 1}{7\times 25}}{10}+2.42$$

Do the multiplications in the fraction \frac{450\times 1}{7\times 25}.

$$\frac{\frac{300}{7}+\frac{450}{175}}{10}+2.42$$

Reduce the fraction \frac{450}{175} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{300}{7}+\frac{18}{7}}{10}+2.42$$

Since \frac{300}{7} and \frac{18}{7} have the same denominator, add them by adding their numerators.

$$\frac{\frac{300+18}{7}}{10}+2.42$$

Add 300 and 18 to get 318.

$$\frac{\frac{318}{7}}{10}+2.42$$

Express \frac{\frac{318}{7}}{10} as a single fraction.

$$\frac{318}{7\times 10}+2.42$$

Multiply 7 and 10 to get 70.

$$\frac{318}{70}+2.42$$

Reduce the fraction \frac{318}{70} to lowest terms by extracting and canceling out 2.

$$\frac{159}{35}+2.42$$

Convert decimal number 2.42 to fraction \frac{242}{100}. Reduce the fraction \frac{242}{100} to lowest terms by extracting and canceling out 2.

$$\frac{159}{35}+\frac{121}{50}$$

Least common multiple of 35 and 50 is 350. Convert \frac{159}{35} and \frac{121}{50} to fractions with denominator 350.

$$\frac{1590}{350}+\frac{847}{350}$$

Since \frac{1590}{350} and \frac{847}{350} have the same denominator, add them by adding their numerators.

$$\frac{1590+847}{350}$$

Add 1590 and 847 to get 2437.

$$\frac{2437}{350}$$

Factor

$$\frac{2437}{2 \cdot 7 \cdot 5 ^ {2}} = 6\frac{337}{350} = 6.962857142857143$$