Solve 4/19*4/43+39/43*4/19=

$$\frac { 4 } { 19 } \times \frac { 4 } { 43 } + \frac { 39 } { 43 } \times \frac { 4 } { 19 } =$$

Evaluate

$$\frac{4}{19}\approx 0.210526316$$

Solution Steps

Multiply \frac{4}{19} times \frac{4}{43} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 4}{19\times 43}+\frac{39}{43}\times \frac{4}{19}$$

Do the multiplications in the fraction \frac{4\times 4}{19\times 43}.

$$\frac{16}{817}+\frac{39}{43}\times \frac{4}{19}$$

Multiply \frac{39}{43} times \frac{4}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16}{817}+\frac{39\times 4}{43\times 19}$$

Do the multiplications in the fraction \frac{39\times 4}{43\times 19}.

$$\frac{16}{817}+\frac{156}{817}$$

Since \frac{16}{817} and \frac{156}{817} have the same denominator, add them by adding their numerators.

$$\frac{16+156}{817}$$

Add 16 and 156 to get 172.

$$\frac{172}{817}$$

Reduce the fraction \frac{172}{817} to lowest terms by extracting and canceling out 43.

$$\frac{4}{19}$$

Factor

$$\frac{2 ^ {2}}{19} = 0.21052631578947367$$