Solve 162/3%text{of}181.231+125%text{of}805.325=8

$$16 \frac { 2 } { 3 } \% \text { of } 181.231 + 125 \% \text { of } 805.325 = 8$$

Verify

Solution Steps

Multiply both sides of the equation by 100.

$$\frac{16\times 3+2}{3}\times 181.231+125\times 805.325=800$$

Multiply 16 and 3 to get 48.

$$\frac{48+2}{3}\times 181.231+125\times 805.325=800$$

Add 48 and 2 to get 50.

$$\frac{50}{3}\times 181.231+125\times 805.325=800$$

Convert decimal number 181.231 to fraction \frac{181231}{1000}.

$$\frac{50}{3}\times \frac{181231}{1000}+125\times 805.325=800$$

Multiply \frac{50}{3} times \frac{181231}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{50\times 181231}{3\times 1000}+125\times 805.325=800$$

Do the multiplications in the fraction \frac{50\times 181231}{3\times 1000}.

$$\frac{9061550}{3000}+125\times 805.325=800$$

Reduce the fraction \frac{9061550}{3000} to lowest terms by extracting and canceling out 50.

$$\frac{181231}{60}+125\times 805.325=800$$

Multiply 125 and 805.325 to get 100665.625.

$$\frac{181231}{60}+100665.625=800$$

Convert decimal number 100665.625 to fraction \frac{100665625}{1000}. Reduce the fraction \frac{100665625}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{181231}{60}+\frac{805325}{8}=800$$

Least common multiple of 60 and 8 is 120. Convert \frac{181231}{60} and \frac{805325}{8} to fractions with denominator 120.

$$\frac{362462}{120}+\frac{12079875}{120}=800$$

Since \frac{362462}{120} and \frac{12079875}{120} have the same denominator, add them by adding their numerators.

$$\frac{362462+12079875}{120}=800$$

Add 362462 and 12079875 to get 12442337.

$$\frac{12442337}{120}=800$$

Convert 800 to fraction \frac{96000}{120}.

$$\frac{12442337}{120}=\frac{96000}{120}$$

Compare \frac{12442337}{120} and \frac{96000}{120}.

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