Solve 3/7+13/4*1/3

$$\frac { 3 } { 7 } + \frac { 13 } { 4 } \times \frac { 1 } { 3 }$$

Evaluate

$$\frac{127}{84}\approx 1.511904762$$

Solution Steps

Multiply \frac{13}{4} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{7}+\frac{13\times 1}{4\times 3}$$

Do the multiplications in the fraction \frac{13\times 1}{4\times 3}.

$$\frac{3}{7}+\frac{13}{12}$$

Least common multiple of 7 and 12 is 84. Convert \frac{3}{7} and \frac{13}{12} to fractions with denominator 84.

$$\frac{36}{84}+\frac{91}{84}$$

Since \frac{36}{84} and \frac{91}{84} have the same denominator, add them by adding their numerators.

$$\frac{36+91}{84}$$

Add 36 and 91 to get 127.

$$\frac{127}{84}$$

Factor

$$\frac{127}{2 ^ {2} \cdot 3 \cdot 7} = 1\frac{43}{84} = 1.5119047619047619$$