Solve 9/14div1/7div3.6+3.7=

$$\frac { 9 } { 14 } \div \frac { 1 } { 7 } \div 3.6 + 3.7 =$$

Evaluate

$$4.95$$

Solution Steps

Express \frac{\frac{\frac{9}{14}}{\frac{1}{7}}}{3.6} as a single fraction.

$$\frac{\frac{9}{14}}{\frac{1}{7}\times 3.6}+3.7$$

Convert decimal number 3.6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{9}{14}}{\frac{1}{7}\times \frac{18}{5}}+3.7$$

Multiply \frac{1}{7} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{9}{14}}{\frac{1\times 18}{7\times 5}}+3.7$$

Do the multiplications in the fraction \frac{1\times 18}{7\times 5}.

$$\frac{\frac{9}{14}}{\frac{18}{35}}+3.7$$

Divide \frac{9}{14} by \frac{18}{35} by multiplying \frac{9}{14} by the reciprocal of \frac{18}{35}.

$$\frac{9}{14}\times \frac{35}{18}+3.7$$

Multiply \frac{9}{14} times \frac{35}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 35}{14\times 18}+3.7$$

Do the multiplications in the fraction \frac{9\times 35}{14\times 18}.

$$\frac{315}{252}+3.7$$

Reduce the fraction \frac{315}{252} to lowest terms by extracting and canceling out 63.

$$\frac{5}{4}+3.7$$

Convert decimal number 3.7 to fraction \frac{37}{10}.

$$\frac{5}{4}+\frac{37}{10}$$

Least common multiple of 4 and 10 is 20. Convert \frac{5}{4} and \frac{37}{10} to fractions with denominator 20.

$$\frac{25}{20}+\frac{74}{20}$$

Since \frac{25}{20} and \frac{74}{20} have the same denominator, add them by adding their numerators.

$$\frac{25+74}{20}$$

Add 25 and 74 to get 99.

$$\frac{99}{20}$$

Factor

$$\frac{11 \cdot 3 ^ {2}}{5 \cdot 2 ^ {2}} = 4\frac{19}{20} = 4.95$$