Solve 22-(45/7+5.72+4.28)

$$22-( 4 \frac { 5 } { 7 } +5.72+4.28)$$

Evaluate

$$\frac{51}{7}\approx 7.285714286$$

Solution Steps

Multiply 4 and 7 to get 28.

$$22-\left(\frac{28+5}{7}+5.72+4.28\right)$$

Add 28 and 5 to get 33.

$$22-\left(\frac{33}{7}+5.72+4.28\right)$$

Convert decimal number 5.72 to fraction \frac{572}{100}. Reduce the fraction \frac{572}{100} to lowest terms by extracting and canceling out 4.

$$22-\left(\frac{33}{7}+\frac{143}{25}+4.28\right)$$

Least common multiple of 7 and 25 is 175. Convert \frac{33}{7} and \frac{143}{25} to fractions with denominator 175.

$$22-\left(\frac{825}{175}+\frac{1001}{175}+4.28\right)$$

Since \frac{825}{175} and \frac{1001}{175} have the same denominator, add them by adding their numerators.

$$22-\left(\frac{825+1001}{175}+4.28\right)$$

Add 825 and 1001 to get 1826.

$$22-\left(\frac{1826}{175}+4.28\right)$$

Convert decimal number 4.28 to fraction \frac{428}{100}. Reduce the fraction \frac{428}{100} to lowest terms by extracting and canceling out 4.

$$22-\left(\frac{1826}{175}+\frac{107}{25}\right)$$

Least common multiple of 175 and 25 is 175. Convert \frac{1826}{175} and \frac{107}{25} to fractions with denominator 175.

$$22-\left(\frac{1826}{175}+\frac{749}{175}\right)$$

Since \frac{1826}{175} and \frac{749}{175} have the same denominator, add them by adding their numerators.

$$22-\frac{1826+749}{175}$$

Add 1826 and 749 to get 2575.

$$22-\frac{2575}{175}$$

Reduce the fraction \frac{2575}{175} to lowest terms by extracting and canceling out 25.

$$22-\frac{103}{7}$$

Convert 22 to fraction \frac{154}{7}.

$$\frac{154}{7}-\frac{103}{7}$$

Since \frac{154}{7} and \frac{103}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{154-103}{7}$$

Subtract 103 from 154 to get 51.

$$\frac{51}{7}$$

Factor

$$\frac{3 \cdot 17}{7} = 7\frac{2}{7} = 7.285714285714286$$