Solve 4/3+2/65/4

$$\frac{ 4 }{ 3 } + \frac{ 2 }{ 6 } \frac{ 5 }{ 4 }$$

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}+\frac{1}{3}\times \frac{5}{4}$$

Multiply \frac{1}{3} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{3}+\frac{1\times 5}{3\times 4}$$

Do the multiplications in the fraction \frac{1\times 5}{3\times 4}.

$$\frac{4}{3}+\frac{5}{12}$$

Least common multiple of 3 and 12 is 12. Convert \frac{4}{3} and \frac{5}{12} to fractions with denominator 12.

$$\frac{16}{12}+\frac{5}{12}$$

Since \frac{16}{12} and \frac{5}{12} have the same denominator, add them by adding their numerators.

$$\frac{16+5}{12}$$

Add 16 and 5 to get 21.

$$\frac{21}{12}$$

Reduce the fraction \frac{21}{12} to lowest terms by extracting and canceling out 3.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$