Solve 7.32div0.3-4(1.3)^2

$$7.32 \div 0.3 - 4 ( 1.3 ) ^ { 2 }$$

Evaluate

$$17.64$$

Solution Steps

Expand \frac{7.32}{0.3} by multiplying both numerator and the denominator by 100.

$$\frac{732}{30}-4\times 1.3^{2}$$

Reduce the fraction \frac{732}{30} to lowest terms by extracting and canceling out 6.

$$\frac{122}{5}-4\times 1.3^{2}$$

Calculate 1.3 to the power of 2 and get 1.69.

$$\frac{122}{5}-4\times 1.69$$

Multiply 4 and 1.69 to get 6.76.

$$\frac{122}{5}-6.76$$

Convert decimal number 6.76 to fraction \frac{676}{100}. Reduce the fraction \frac{676}{100} to lowest terms by extracting and canceling out 4.

$$\frac{122}{5}-\frac{169}{25}$$

Least common multiple of 5 and 25 is 25. Convert \frac{122}{5} and \frac{169}{25} to fractions with denominator 25.

$$\frac{610}{25}-\frac{169}{25}$$

Since \frac{610}{25} and \frac{169}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{610-169}{25}$$

Subtract 169 from 610 to get 441.

$$\frac{441}{25}$$

Factor

$$\frac{3 ^ {2} \cdot 7 ^ {2}}{5 ^ {2}} = 17\frac{16}{25} = 17.64$$