Solve 700/444*9550^2div5555^2

$$\frac{ 700 }{ 444 } \times { 9550 }^{ 2 } \div { 5555 }^{ 2 }$$

Evaluate

$$\frac{638417500}{137009631}\approx 4.659654182$$

Solution Steps

Reduce the fraction \frac{700}{444} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{175}{111}\times 9550^{2}}{5555^{2}}$$

Calculate 9550 to the power of 2 and get 91202500.

$$\frac{\frac{175}{111}\times 91202500}{5555^{2}}$$

Express \frac{175}{111}\times 91202500 as a single fraction.

$$\frac{\frac{175\times 91202500}{111}}{5555^{2}}$$

Multiply 175 and 91202500 to get 15960437500.

$$\frac{\frac{15960437500}{111}}{5555^{2}}$$

Calculate 5555 to the power of 2 and get 30858025.

$$\frac{\frac{15960437500}{111}}{30858025}$$

Express \frac{\frac{15960437500}{111}}{30858025} as a single fraction.

$$\frac{15960437500}{111\times 30858025}$$

Multiply 111 and 30858025 to get 3425240775.

$$\frac{15960437500}{3425240775}$$

Reduce the fraction \frac{15960437500}{3425240775} to lowest terms by extracting and canceling out 25.

$$\frac{638417500}{137009631}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {4} \cdot 7 \cdot 191 ^ {2}}{3 \cdot 11 ^ {2} \cdot 37 \cdot 101 ^ {2}} = 4\frac{90378976}{137009631} = 4.6596541815370625$$