Solve 0.003096*160.8*25/2800*12leq0.003858*(21+0.0022*800)/10

$$\frac { 0.003096 \times 160.8 \times 25 } { 2800 \times 12 } \leq \frac { 0.003858 \times ( 21 + 0.0022 \times 800 ) } { 10 }$$

Verify

Solution Steps

Multiply both sides of the equation by 10. Since 10 is positive, the inequality direction remains the same.

$$\frac{1}{3360}\times 0.003096\times 160.8\times 25\leq 0.003858\left(21+0.0022\times 800\right)$$

Convert decimal number 0.003096 to fraction \frac{3096}{1000000}. Reduce the fraction \frac{3096}{1000000} to lowest terms by extracting and canceling out 8.

$$\frac{1}{3360}\times \frac{387}{125000}\times 160.8\times 25\leq 0.003858\left(21+0.0022\times 800\right)$$

Multiply \frac{1}{3360} times \frac{387}{125000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 387}{3360\times 125000}\times 160.8\times 25\leq 0.003858\left(21+0.0022\times 800\right)$$

Do the multiplications in the fraction \frac{1\times 387}{3360\times 125000}.

$$\frac{387}{420000000}\times 160.8\times 25\leq 0.003858\left(21+0.0022\times 800\right)$$

Reduce the fraction \frac{387}{420000000} to lowest terms by extracting and canceling out 3.

$$\frac{129}{140000000}\times 160.8\times 25\leq 0.003858\left(21+0.0022\times 800\right)$$

Convert decimal number 160.8 to fraction \frac{1608}{10}. Reduce the fraction \frac{1608}{10} to lowest terms by extracting and canceling out 2.

$$\frac{129}{140000000}\times \frac{804}{5}\times 25\leq 0.003858\left(21+0.0022\times 800\right)$$

Multiply \frac{129}{140000000} times \frac{804}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{129\times 804}{140000000\times 5}\times 25\leq 0.003858\left(21+0.0022\times 800\right)$$

Do the multiplications in the fraction \frac{129\times 804}{140000000\times 5}.

$$\frac{103716}{700000000}\times 25\leq 0.003858\left(21+0.0022\times 800\right)$$

Reduce the fraction \frac{103716}{700000000} to lowest terms by extracting and canceling out 4.

$$\frac{25929}{175000000}\times 25\leq 0.003858\left(21+0.0022\times 800\right)$$

Express \frac{25929}{175000000}\times 25 as a single fraction.

$$\frac{25929\times 25}{175000000}\leq 0.003858\left(21+0.0022\times 800\right)$$

Multiply 25929 and 25 to get 648225.

$$\frac{648225}{175000000}\leq 0.003858\left(21+0.0022\times 800\right)$$

Reduce the fraction \frac{648225}{175000000} to lowest terms by extracting and canceling out 25.

$$\frac{25929}{7000000}\leq 0.003858\left(21+0.0022\times 800\right)$$

Multiply 0.0022 and 800 to get 1.76.

$$\frac{25929}{7000000}\leq 0.003858\left(21+1.76\right)$$

Add 21 and 1.76 to get 22.76.

$$\frac{25929}{7000000}\leq 0.003858\times 22.76$$

Multiply 0.003858 and 22.76 to get 0.08780808.

$$\frac{25929}{7000000}\leq 0.08780808$$

Convert decimal number 0.08780808 to fraction \frac{8780808}{100000000}. Reduce the fraction \frac{8780808}{100000000} to lowest terms by extracting and canceling out 8.

$$\frac{25929}{7000000}\leq \frac{1097601}{12500000}$$

Least common multiple of 7000000 and 12500000 is 175000000. Convert \frac{25929}{7000000} and \frac{1097601}{12500000} to fractions with denominator 175000000.

$$\frac{648225}{175000000}\leq \frac{15366414}{175000000}$$

Compare \frac{648225}{175000000} and \frac{15366414}{175000000}.

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