Solve (4quad48/49*72)+288

$$( 4 \quad \frac { 48 } { 49 } \cdot 72 ) + 288$$

Evaluate

$$\frac{31680}{49}\approx 646.530612245$$

Solution Steps

Multiply 4 and 49 to get 196.

$$\frac{196+48}{49}\times 72+288$$

Add 196 and 48 to get 244.

$$\frac{244}{49}\times 72+288$$

Express \frac{244}{49}\times 72 as a single fraction.

$$\frac{244\times 72}{49}+288$$

Multiply 244 and 72 to get 17568.

$$\frac{17568}{49}+288$$

Convert 288 to fraction \frac{14112}{49}.

$$\frac{17568}{49}+\frac{14112}{49}$$

Since \frac{17568}{49} and \frac{14112}{49} have the same denominator, add them by adding their numerators.

$$\frac{17568+14112}{49}$$

Add 17568 and 14112 to get 31680.

$$\frac{31680}{49}$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {2} \cdot 5 \cdot 11}{7 ^ {2}} = 646\frac{26}{49} = 646.530612244898$$