Solve 1/4*1/5+25/6*1/5)divfrac{7}{10}

$$\frac { 1 } { 4 } \times \frac { 1 } { 5 } + 2 \frac { 5 } { 6 } \times \frac { 1 } { 5 } ) \div \frac { 7 } { 10 }$$

Evaluate

$$\frac{37}{60}\approx 0.616666667$$

Solution Steps

Multiply \frac{1}{4} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{4\times 5}+\frac{2\times 6+5}{6}\times \frac{1}{5}$$

Do the multiplications in the fraction \frac{1\times 1}{4\times 5}.

$$\frac{1}{20}+\frac{2\times 6+5}{6}\times \frac{1}{5}$$

Multiply 2 and 6 to get 12.

$$\frac{1}{20}+\frac{12+5}{6}\times \frac{1}{5}$$

Add 12 and 5 to get 17.

$$\frac{1}{20}+\frac{17}{6}\times \frac{1}{5}$$

Multiply \frac{17}{6} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{20}+\frac{17\times 1}{6\times 5}$$

Do the multiplications in the fraction \frac{17\times 1}{6\times 5}.

$$\frac{1}{20}+\frac{17}{30}$$

Least common multiple of 20 and 30 is 60. Convert \frac{1}{20} and \frac{17}{30} to fractions with denominator 60.

$$\frac{3}{60}+\frac{34}{60}$$

Since \frac{3}{60} and \frac{34}{60} have the same denominator, add them by adding their numerators.

$$\frac{3+34}{60}$$

Add 3 and 34 to get 37.

$$\frac{37}{60}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 3 \cdot 5} = 0.6166666666666667$$