Solve 11/4+15/9*15/8div61/2=?

$$1 \frac { 1 } { 4 } + 1 \frac { 5 } { 9 } \times 1 \frac { 5 } { 8 } \div 6 \frac { 1 } { 2 } = ?$$

Evaluate

$$\frac{59}{36}\approx 1.638888889$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+1}{4}+\frac{\frac{1\times 9+5}{9}\times \frac{1\times 8+5}{8}}{\frac{6\times 2+1}{2}}$$

Add 4 and 1 to get 5.

$$\frac{5}{4}+\frac{\frac{1\times 9+5}{9}\times \frac{1\times 8+5}{8}}{\frac{6\times 2+1}{2}}$$

Multiply 1 and 9 to get 9.

$$\frac{5}{4}+\frac{\frac{9+5}{9}\times \frac{1\times 8+5}{8}}{\frac{6\times 2+1}{2}}$$

Add 9 and 5 to get 14.

$$\frac{5}{4}+\frac{\frac{14}{9}\times \frac{1\times 8+5}{8}}{\frac{6\times 2+1}{2}}$$

Multiply 1 and 8 to get 8.

$$\frac{5}{4}+\frac{\frac{14}{9}\times \frac{8+5}{8}}{\frac{6\times 2+1}{2}}$$

Add 8 and 5 to get 13.

$$\frac{5}{4}+\frac{\frac{14}{9}\times \frac{13}{8}}{\frac{6\times 2+1}{2}}$$

Multiply \frac{14}{9} times \frac{13}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{4}+\frac{\frac{14\times 13}{9\times 8}}{\frac{6\times 2+1}{2}}$$

Do the multiplications in the fraction \frac{14\times 13}{9\times 8}.

$$\frac{5}{4}+\frac{\frac{182}{72}}{\frac{6\times 2+1}{2}}$$

Reduce the fraction \frac{182}{72} to lowest terms by extracting and canceling out 2.

$$\frac{5}{4}+\frac{\frac{91}{36}}{\frac{6\times 2+1}{2}}$$

Multiply 6 and 2 to get 12.

$$\frac{5}{4}+\frac{\frac{91}{36}}{\frac{12+1}{2}}$$

Add 12 and 1 to get 13.

$$\frac{5}{4}+\frac{\frac{91}{36}}{\frac{13}{2}}$$

Divide \frac{91}{36} by \frac{13}{2} by multiplying \frac{91}{36} by the reciprocal of \frac{13}{2}.

$$\frac{5}{4}+\frac{91}{36}\times \frac{2}{13}$$

Multiply \frac{91}{36} times \frac{2}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{4}+\frac{91\times 2}{36\times 13}$$

Do the multiplications in the fraction \frac{91\times 2}{36\times 13}.

$$\frac{5}{4}+\frac{182}{468}$$

Reduce the fraction \frac{182}{468} to lowest terms by extracting and canceling out 26.

$$\frac{5}{4}+\frac{7}{18}$$

Least common multiple of 4 and 18 is 36. Convert \frac{5}{4} and \frac{7}{18} to fractions with denominator 36.

$$\frac{45}{36}+\frac{14}{36}$$

Since \frac{45}{36} and \frac{14}{36} have the same denominator, add them by adding their numerators.

$$\frac{45+14}{36}$$

Add 45 and 14 to get 59.

$$\frac{59}{36}$$

Factor

$$\frac{59}{2 ^ {2} \cdot 3 ^ {2}} = 1\frac{23}{36} = 1.6388888888888888$$