Solve 1-25026/84+35035/90=

$$1 - 250 \frac { 26 } { 84 } + 350 \frac { 35 } { 90 } =$$

Evaluate

$$\frac{6368}{63}\approx 101.079365079$$

Solution Steps

Multiply 250 and 84 to get 21000.

$$1-\frac{21000+26}{84}+\frac{350\times 90+35}{90}$$

Add 21000 and 26 to get 21026.

$$1-\frac{21026}{84}+\frac{350\times 90+35}{90}$$

Reduce the fraction \frac{21026}{84} to lowest terms by extracting and canceling out 2.

$$1-\frac{10513}{42}+\frac{350\times 90+35}{90}$$

Convert 1 to fraction \frac{42}{42}.

$$\frac{42}{42}-\frac{10513}{42}+\frac{350\times 90+35}{90}$$

Since \frac{42}{42} and \frac{10513}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42-10513}{42}+\frac{350\times 90+35}{90}$$

Subtract 10513 from 42 to get -10471.

$$-\frac{10471}{42}+\frac{350\times 90+35}{90}$$

Multiply 350 and 90 to get 31500.

$$-\frac{10471}{42}+\frac{31500+35}{90}$$

Add 31500 and 35 to get 31535.

$$-\frac{10471}{42}+\frac{31535}{90}$$

Reduce the fraction \frac{31535}{90} to lowest terms by extracting and canceling out 5.

$$-\frac{10471}{42}+\frac{6307}{18}$$

Least common multiple of 42 and 18 is 126. Convert -\frac{10471}{42} and \frac{6307}{18} to fractions with denominator 126.

$$-\frac{31413}{126}+\frac{44149}{126}$$

Since -\frac{31413}{126} and \frac{44149}{126} have the same denominator, add them by adding their numerators.

$$\frac{-31413+44149}{126}$$

Add -31413 and 44149 to get 12736.

$$\frac{12736}{126}$$

Reduce the fraction \frac{12736}{126} to lowest terms by extracting and canceling out 2.

$$\frac{6368}{63}$$

Factor

$$\frac{2 ^ {5} \cdot 199}{3 ^ {2} \cdot 7} = 101\frac{5}{63} = 101.07936507936508$$