Solve C=23/75*73/20-3/4+7/4*frac{1}{2}divfrac{3}{4}

$$C = \frac { 23 } { 75 } \times \frac { 73 } { 20 } - \frac { 3 } { 4 } + \frac { 7 } { 4 } \times \frac { 1 } { 2 } \div \frac { 3 } { 4 }$$

Solve for C

$$C = \frac{192}{125} = 1\frac{67}{125} = 1.536$$

Steps for Solving Linear Equation

Multiply \frac{23}{75} times \frac{73}{20} by multiplying numerator times numerator and denominator times denominator.

$$C=\frac{23\times 73}{75\times 20}-\frac{3}{4}+\frac{\frac{7}{4}\times \frac{1}{2}}{\frac{3}{4}}$$

Do the multiplications in the fraction \frac{23\times 73}{75\times 20}.

$$C=\frac{1679}{1500}-\frac{3}{4}+\frac{\frac{7}{4}\times \frac{1}{2}}{\frac{3}{4}}$$

Least common multiple of 1500 and 4 is 1500. Convert \frac{1679}{1500} and \frac{3}{4} to fractions with denominator 1500.

$$C=\frac{1679}{1500}-\frac{1125}{1500}+\frac{\frac{7}{4}\times \frac{1}{2}}{\frac{3}{4}}$$

Since \frac{1679}{1500} and \frac{1125}{1500} have the same denominator, subtract them by subtracting their numerators.

$$C=\frac{1679-1125}{1500}+\frac{\frac{7}{4}\times \frac{1}{2}}{\frac{3}{4}}$$

Subtract 1125 from 1679 to get 554.

$$C=\frac{554}{1500}+\frac{\frac{7}{4}\times \frac{1}{2}}{\frac{3}{4}}$$

Reduce the fraction \frac{554}{1500} to lowest terms by extracting and canceling out 2.

$$C=\frac{277}{750}+\frac{\frac{7}{4}\times \frac{1}{2}}{\frac{3}{4}}$$

Multiply \frac{7}{4} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$C=\frac{277}{750}+\frac{\frac{7\times 1}{4\times 2}}{\frac{3}{4}}$$

Do the multiplications in the fraction \frac{7\times 1}{4\times 2}.

$$C=\frac{277}{750}+\frac{\frac{7}{8}}{\frac{3}{4}}$$

Divide \frac{7}{8} by \frac{3}{4} by multiplying \frac{7}{8} by the reciprocal of \frac{3}{4}.

$$C=\frac{277}{750}+\frac{7}{8}\times \frac{4}{3}$$

Multiply \frac{7}{8} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$C=\frac{277}{750}+\frac{7\times 4}{8\times 3}$$

Do the multiplications in the fraction \frac{7\times 4}{8\times 3}.

$$C=\frac{277}{750}+\frac{28}{24}$$

Reduce the fraction \frac{28}{24} to lowest terms by extracting and canceling out 4.

$$C=\frac{277}{750}+\frac{7}{6}$$

Least common multiple of 750 and 6 is 750. Convert \frac{277}{750} and \frac{7}{6} to fractions with denominator 750.

$$C=\frac{277}{750}+\frac{875}{750}$$

Since \frac{277}{750} and \frac{875}{750} have the same denominator, add them by adding their numerators.

$$C=\frac{277+875}{750}$$

Add 277 and 875 to get 1152.

$$C=\frac{1152}{750}$$

Reduce the fraction \frac{1152}{750} to lowest terms by extracting and canceling out 6.

$$C=\frac{192}{125}$$

Assign C

$$C≔\frac{192}{125}$$