Solve 364/184div18/17

$$3 \frac { 64 } { 184 } \div 1 \frac { 8 } { 17 }$$

Evaluate

$$\frac{1309}{575}\approx 2.276521739$$

Solution Steps

Divide \frac{3\times 184+64}{184} by \frac{1\times 17+8}{17} by multiplying \frac{3\times 184+64}{184} by the reciprocal of \frac{1\times 17+8}{17}.

$$\frac{\left(3\times 184+64\right)\times 17}{184\left(1\times 17+8\right)}$$

Multiply 3 and 184 to get 552.

$$\frac{\left(552+64\right)\times 17}{184\left(1\times 17+8\right)}$$

Add 552 and 64 to get 616.

$$\frac{616\times 17}{184\left(1\times 17+8\right)}$$

Multiply 616 and 17 to get 10472.

$$\frac{10472}{184\left(1\times 17+8\right)}$$

Multiply 1 and 17 to get 17.

$$\frac{10472}{184\left(17+8\right)}$$

Add 17 and 8 to get 25.

$$\frac{10472}{184\times 25}$$

Multiply 184 and 25 to get 4600.

$$\frac{10472}{4600}$$

Reduce the fraction \frac{10472}{4600} to lowest terms by extracting and canceling out 8.

$$\frac{1309}{575}$$

Factor

$$\frac{7 \cdot 11 \cdot 17}{5 ^ {2} \cdot 23} = 2\frac{159}{575} = 2.276521739130435$$