Solve 2(3/41/4)+(1/41/4)=

$$2( \frac{ 3 }{ 4 } \frac{ 1 }{ 4 } )+( \frac{ 1 }{ 4 } \frac{ 1 }{ 4 } )=$$

Evaluate

$$\frac{7}{16}=0.4375$$

Solution Steps

Express 2\times \frac{3}{4} as a single fraction.

$$\frac{2\times 3}{4}\times \frac{1}{4}+\frac{1}{4}\times \frac{1}{4}$$

Multiply 2 and 3 to get 6.

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

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}\times \frac{1}{4}+\frac{1}{4}\times \frac{1}{4}$$

Multiply \frac{3}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{2\times 4}+\frac{1}{4}\times \frac{1}{4}$$

Do the multiplications in the fraction \frac{3\times 1}{2\times 4}.

$$\frac{3}{8}+\frac{1}{4}\times \frac{1}{4}$$

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

$$\frac{3}{8}+\frac{1\times 1}{4\times 4}$$

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

$$\frac{3}{8}+\frac{1}{16}$$

Least common multiple of 8 and 16 is 16. Convert \frac{3}{8} and \frac{1}{16} to fractions with denominator 16.

$$\frac{6}{16}+\frac{1}{16}$$

Since \frac{6}{16} and \frac{1}{16} have the same denominator, add them by adding their numerators.

$$\frac{6+1}{16}$$

Add 6 and 1 to get 7.

$$\frac{7}{16}$$

Factor

$$\frac{7}{2 ^ {4}} = 0.4375$$