Solve 7415/45^2/frac{54{5}}(5+2)=

$$\frac{ \frac{ 7415 }{ { 45 }^{ 2 } } }{ \frac{ 54 }{ 5 } } (5+2)=$$

Evaluate

$$\frac{10381}{4374}\approx 2.373342478$$

Solution Steps

Divide \frac{7415}{45^{2}} by \frac{54}{5} by multiplying \frac{7415}{45^{2}} by the reciprocal of \frac{54}{5}.

$$\frac{7415\times 5}{45^{2}\times 54}\left(5+2\right)$$

Multiply 7415 and 5 to get 37075.

$$\frac{37075}{45^{2}\times 54}\left(5+2\right)$$

Calculate 45 to the power of 2 and get 2025.

$$\frac{37075}{2025\times 54}\left(5+2\right)$$

Multiply 2025 and 54 to get 109350.

$$\frac{37075}{109350}\left(5+2\right)$$

Reduce the fraction \frac{37075}{109350} to lowest terms by extracting and canceling out 25.

$$\frac{1483}{4374}\left(5+2\right)$$

Add 5 and 2 to get 7.

$$\frac{1483}{4374}\times 7$$

Express \frac{1483}{4374}\times 7 as a single fraction.

$$\frac{1483\times 7}{4374}$$

Multiply 1483 and 7 to get 10381.

$$\frac{10381}{4374}$$

Factor

$$\frac{7 \cdot 1483}{2 \cdot 3 ^ {7}} = 2\frac{1633}{4374} = 2.3733424782807497$$