Solve 0.136(9.8-0.88/4)=

$$0.136 ( 9.8 - \frac { 0.88 } { 4 } ) =$$

Evaluate

$$1.30288$$

Solution Steps

Expand \frac{0.88}{4} by multiplying both numerator and the denominator by 100.

$$0.136\left(9.8-\frac{88}{400}\right)$$

Reduce the fraction \frac{88}{400} to lowest terms by extracting and canceling out 8.

$$0.136\left(9.8-\frac{11}{50}\right)$$

Convert decimal number 9.8 to fraction \frac{98}{10}. Reduce the fraction \frac{98}{10} to lowest terms by extracting and canceling out 2.

$$0.136\left(\frac{49}{5}-\frac{11}{50}\right)$$

Least common multiple of 5 and 50 is 50. Convert \frac{49}{5} and \frac{11}{50} to fractions with denominator 50.

$$0.136\left(\frac{490}{50}-\frac{11}{50}\right)$$

Since \frac{490}{50} and \frac{11}{50} have the same denominator, subtract them by subtracting their numerators.

$$0.136\times \frac{490-11}{50}$$

Subtract 11 from 490 to get 479.

$$0.136\times \frac{479}{50}$$

Convert decimal number 0.136 to fraction \frac{136}{1000}. Reduce the fraction \frac{136}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{17}{125}\times \frac{479}{50}$$

Multiply \frac{17}{125} times \frac{479}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 479}{125\times 50}$$

Do the multiplications in the fraction \frac{17\times 479}{125\times 50}.

$$\frac{8143}{6250}$$

Factor

$$\frac{17 \cdot 479}{2 \cdot 5 ^ {5}} = 1\frac{1893}{6250} = 1.30288$$