Solve 4/25+16/44*(1-7*32/125)

$$\frac { 4 } { 25 } + \frac { 16 } { 44 } \times ( 1 - 7 \times \frac { 32 } { 125 } )$$

Evaluate

$$-\frac{16}{125}=-0.128$$

Solution Steps

Reduce the fraction \frac{16}{44} to lowest terms by extracting and canceling out 4.

$$\frac{4}{25}+\frac{4}{11}\left(1-7\times \frac{32}{125}\right)$$

Express 7\times \frac{32}{125} as a single fraction.

$$\frac{4}{25}+\frac{4}{11}\left(1-\frac{7\times 32}{125}\right)$$

Multiply 7 and 32 to get 224.

$$\frac{4}{25}+\frac{4}{11}\left(1-\frac{224}{125}\right)$$

Convert 1 to fraction \frac{125}{125}.

$$\frac{4}{25}+\frac{4}{11}\left(\frac{125}{125}-\frac{224}{125}\right)$$

Since \frac{125}{125} and \frac{224}{125} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{25}+\frac{4}{11}\times \frac{125-224}{125}$$

Subtract 224 from 125 to get -99.

$$\frac{4}{25}+\frac{4}{11}\left(-\frac{99}{125}\right)$$

Multiply \frac{4}{11} times -\frac{99}{125} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{25}+\frac{4\left(-99\right)}{11\times 125}$$

Do the multiplications in the fraction \frac{4\left(-99\right)}{11\times 125}.

$$\frac{4}{25}+\frac{-396}{1375}$$

Reduce the fraction \frac{-396}{1375} to lowest terms by extracting and canceling out 11.

$$\frac{4}{25}-\frac{36}{125}$$

Least common multiple of 25 and 125 is 125. Convert \frac{4}{25} and \frac{36}{125} to fractions with denominator 125.

$$\frac{20}{125}-\frac{36}{125}$$

Since \frac{20}{125} and \frac{36}{125} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-36}{125}$$

Subtract 36 from 20 to get -16.

$$-\frac{16}{125}$$

Factor

$$-\frac{16}{125} = -0.128$$