Solve 88+188+5000000div98-2^2*9x-(78*0.25)-1

$$88+188+5000000 \div 98- { 2 }^{ 2 } \times 9x-(78 \times 0.25)-1$$

Evaluate

$$\frac{5025039}{98}-36x$$

Solution Steps

Add 88 and 188 to get 276.

$$276+\frac{5000000}{98}-2^{2}\times 9x-78\times 0.25-1$$

Reduce the fraction \frac{5000000}{98} to lowest terms by extracting and canceling out 2.

$$276+\frac{2500000}{49}-2^{2}\times 9x-78\times 0.25-1$$

Convert 276 to fraction \frac{13524}{49}.

$$\frac{13524}{49}+\frac{2500000}{49}-2^{2}\times 9x-78\times 0.25-1$$

Since \frac{13524}{49} and \frac{2500000}{49} have the same denominator, add them by adding their numerators.

$$\frac{13524+2500000}{49}-2^{2}\times 9x-78\times 0.25-1$$

Add 13524 and 2500000 to get 2513524.

$$\frac{2513524}{49}-2^{2}\times 9x-78\times 0.25-1$$

Calculate 2 to the power of 2 and get 4.

$$\frac{2513524}{49}-4\times 9x-78\times 0.25-1$$

Multiply 4 and 9 to get 36.

$$\frac{2513524}{49}-36x-78\times 0.25-1$$

Multiply 78 and 0.25 to get 19.5.

$$\frac{2513524}{49}-36x-19.5-1$$

Convert decimal number 19.5 to fraction \frac{195}{10}. Reduce the fraction \frac{195}{10} to lowest terms by extracting and canceling out 5.

$$\frac{2513524}{49}-36x-\frac{39}{2}-1$$

Least common multiple of 49 and 2 is 98. Convert \frac{2513524}{49} and \frac{39}{2} to fractions with denominator 98.

$$\frac{5027048}{98}-36x-\frac{1911}{98}-1$$

Since \frac{5027048}{98} and \frac{1911}{98} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5027048-1911}{98}-36x-1$$

Subtract 1911 from 5027048 to get 5025137.

$$\frac{5025137}{98}-36x-1$$

Convert 1 to fraction \frac{98}{98}.

$$\frac{5025137}{98}-36x-\frac{98}{98}$$

Since \frac{5025137}{98} and \frac{98}{98} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5025137-98}{98}-36x$$

Subtract 98 from 5025137 to get 5025039.

$$\frac{5025039}{98}-36x$$

Factor

$$\frac{3\left(1675013-1176x\right)}{98}$$

Solution Steps

Add 88 and 188 to get 276.

$$factor(276+\frac{5000000}{98}-2^{2}\times 9x-78\times 0.25-1)$$

Reduce the fraction \frac{5000000}{98} to lowest terms by extracting and canceling out 2.

$$factor(276+\frac{2500000}{49}-2^{2}\times 9x-78\times 0.25-1)$$

Convert 276 to fraction \frac{13524}{49}.

$$factor(\frac{13524}{49}+\frac{2500000}{49}-2^{2}\times 9x-78\times 0.25-1)$$

Since \frac{13524}{49} and \frac{2500000}{49} have the same denominator, add them by adding their numerators.

$$factor(\frac{13524+2500000}{49}-2^{2}\times 9x-78\times 0.25-1)$$

Add 13524 and 2500000 to get 2513524.

$$factor(\frac{2513524}{49}-2^{2}\times 9x-78\times 0.25-1)$$

Calculate 2 to the power of 2 and get 4.

$$factor(\frac{2513524}{49}-4\times 9x-78\times 0.25-1)$$

Multiply 4 and 9 to get 36.

$$factor(\frac{2513524}{49}-36x-78\times 0.25-1)$$

Multiply 78 and 0.25 to get 19.5.

$$factor(\frac{2513524}{49}-36x-19.5-1)$$

Convert decimal number 19.5 to fraction \frac{195}{10}. Reduce the fraction \frac{195}{10} to lowest terms by extracting and canceling out 5.

$$factor(\frac{2513524}{49}-36x-\frac{39}{2}-1)$$

Least common multiple of 49 and 2 is 98. Convert \frac{2513524}{49} and \frac{39}{2} to fractions with denominator 98.

$$factor(\frac{5027048}{98}-36x-\frac{1911}{98}-1)$$

Since \frac{5027048}{98} and \frac{1911}{98} have the same denominator, subtract them by subtracting their numerators.

$$factor(\frac{5027048-1911}{98}-36x-1)$$

Subtract 1911 from 5027048 to get 5025137.

$$factor(\frac{5025137}{98}-36x-1)$$

Convert 1 to fraction \frac{98}{98}.

$$factor(\frac{5025137}{98}-36x-\frac{98}{98})$$

Since \frac{5025137}{98} and \frac{98}{98} have the same denominator, subtract them by subtracting their numerators.

$$factor(\frac{5025137-98}{98}-36x)$$

Subtract 98 from 5025137 to get 5025039.

$$factor(\frac{5025039}{98}-36x)$$

Factor out \frac{3}{98}.

$$\frac{3\left(1675013-1176x\right)}{98}$$