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$\fraction{28}{48} * 0.025 + \fraction{24.5}{50} * 0.025 + \fraction{x}{48 + 52} * 0.05 + \fraction{8}{10} * 0.15 + \fraction{12}{30} * 0.75 > 0.5 $
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\frac{7}{12}\times 0.025+\frac{24.5}{50}\times 0.025+\frac{x}{48+52}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Reduce the fraction \frac{28}{48} to lowest terms by extracting and canceling out 4.
\frac{7}{12}\times \left(\frac{1}{40}\right)+\frac{24.5}{50}\times 0.025+\frac{x}{48+52}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Convert decimal number 0.025 to fraction \frac{25}{1000}. Reduce the fraction \frac{25}{1000} to lowest terms by extracting and canceling out 25.
\frac{7\times 1}{12\times 40}+\frac{24.5}{50}\times 0.025+\frac{x}{48+52}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Multiply \frac{7}{12} times \frac{1}{40} by multiplying numerator times numerator and denominator times denominator.
\frac{7}{480}+\frac{24.5}{50}\times 0.025+\frac{x}{48+52}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Do the multiplications in the fraction \frac{7\times 1}{12\times 40}.
\frac{7}{480}+\frac{245}{500}\times 0.025+\frac{x}{48+52}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Expand \frac{24.5}{50} by multiplying both numerator and the denominator by 10.
\frac{7}{480}+\frac{49}{100}\times 0.025+\frac{x}{48+52}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Reduce the fraction \frac{245}{500} to lowest terms by extracting and canceling out 5.
\frac{7}{480}+\frac{49}{100}\times \left(\frac{1}{40}\right)+\frac{x}{48+52}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Convert decimal number 0.025 to fraction \frac{25}{1000}. Reduce the fraction \frac{25}{1000} to lowest terms by extracting and canceling out 25.
\frac{7}{480}+\frac{49\times 1}{100\times 40}+\frac{x}{48+52}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Multiply \frac{49}{100} times \frac{1}{40} by multiplying numerator times numerator and denominator times denominator.
\frac{7}{480}+\frac{49}{4000}+\frac{x}{48+52}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Do the multiplications in the fraction \frac{49\times 1}{100\times 40}.
\frac{175}{12000}+\frac{147}{12000}+\frac{x}{48+52}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Least common multiple of 480 and 4000 is 12000. Convert \frac{7}{480} and \frac{49}{4000} to fractions with denominator 12000.
\frac{175+147}{12000}+\frac{x}{48+52}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Since \frac{175}{12000} and \frac{147}{12000} have the same denominator, add them by adding their numerators.
\frac{322}{12000}+\frac{x}{48+52}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Add 175 and 147 to get 322.
\frac{161}{6000}+\frac{x}{48+52}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Reduce the fraction \frac{322}{12000} to lowest terms by extracting and canceling out 2.
\frac{161}{6000}+\frac{x}{100}\times 0.05+\frac{8}{10}\times 0.15+\frac{12}{30}\times 0.75>0.5
Add 48 and 52 to get 100.
\frac{161}{6000}+\frac{x}{100}\times 0.05+\frac{4}{5}\times 0.15+\frac{12}{30}\times 0.75>0.5
Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.
\frac{161}{6000}+\frac{x}{100}\times 0.05+\frac{4}{5}\times \left(\frac{3}{20}\right)+\frac{12}{30}\times 0.75>0.5
Convert decimal number 0.15 to fraction \frac{15}{100}. Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.
\frac{161}{6000}+\frac{x}{100}\times 0.05+\frac{4\times 3}{5\times 20}+\frac{12}{30}\times 0.75>0.5
Multiply \frac{4}{5} times \frac{3}{20} by multiplying numerator times numerator and denominator times denominator.
\frac{161}{6000}+\frac{x}{100}\times 0.05+\frac{12}{100}+\frac{12}{30}\times 0.75>0.5
Do the multiplications in the fraction \frac{4\times 3}{5\times 20}.
\frac{161}{6000}+\frac{x}{100}\times 0.05+\frac{3}{25}+\frac{12}{30}\times 0.75>0.5
Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.
\frac{161}{6000}+\frac{x}{100}\times 0.05+\frac{720}{6000}+\frac{12}{30}\times 0.75>0.5
Least common multiple of 6000 and 25 is 6000. Convert \frac{161}{6000} and \frac{3}{25} to fractions with denominator 6000.
\frac{161+720}{6000}+\frac{x}{100}\times 0.05+\frac{12}{30}\times 0.75>0.5
Since \frac{161}{6000} and \frac{720}{6000} have the same denominator, add them by adding their numerators.
\frac{881}{6000}+\frac{x}{100}\times 0.05+\frac{12}{30}\times 0.75>0.5
Add 161 and 720 to get 881.
\frac{881}{6000}+\frac{x}{100}\times 0.05+\frac{2}{5}\times 0.75>0.5
Reduce the fraction \frac{12}{30} to lowest terms by extracting and canceling out 6.
\frac{881}{6000}+\frac{x}{100}\times 0.05+\frac{2}{5}\times \left(\frac{3}{4}\right)>0.5
Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.
\frac{881}{6000}+\frac{x}{100}\times 0.05+\frac{2\times 3}{5\times 4}>0.5
Multiply \frac{2}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{881}{6000}+\frac{x}{100}\times 0.05+\frac{6}{20}>0.5
Do the multiplications in the fraction \frac{2\times 3}{5\times 4}.
\frac{881}{6000}+\frac{x}{100}\times 0.05+\frac{3}{10}>0.5
Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.
\frac{881}{6000}+\frac{x}{100}\times 0.05+\frac{1800}{6000}>0.5
Least common multiple of 6000 and 10 is 6000. Convert \frac{881}{6000} and \frac{3}{10} to fractions with denominator 6000.
\frac{881+1800}{6000}+\frac{x}{100}\times 0.05>0.5
Since \frac{881}{6000} and \frac{1800}{6000} have the same denominator, add them by adding their numerators.
\frac{2681}{6000}+\frac{x}{100}\times 0.05>0.5
Add 881 and 1800 to get 2681.
\frac{x}{100}\times 0.05>0.5-\frac{2681}{6000}
Subtract \frac{2681}{6000} from both sides.
\frac{x}{100}\times 0.05>\frac{1}{2}-\frac{2681}{6000}
Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
\frac{x}{100}\times 0.05>\frac{3000}{6000}-\frac{2681}{6000}
Least common multiple of 2 and 6000 is 6000. Convert \frac{1}{2} and \frac{2681}{6000} to fractions with denominator 6000.
\frac{x}{100}\times 0.05>\frac{3000-2681}{6000}
Since \frac{3000}{6000} and \frac{2681}{6000} have the same denominator, subtract them by subtracting their numerators.
\frac{x}{100}\times 0.05>\frac{319}{6000}
Subtract 2681 from 3000 to get 319.
\frac{x}{100}>\frac{\frac{319}{6000}}{0.05}
Divide both sides by 0.05. Since 0.05 is positive, the inequality direction remains the same.
\frac{x}{100}>\frac{319}{6000\times 0.05}
Express \frac{\frac{319}{6000}}{0.05} as a single fraction.
\frac{x}{100}>\frac{319}{300}
Multiply 6000 and 0.05 to get 300.
x>\frac{319}{300}\times 100
Multiply both sides by 100. Since 100 is positive, the inequality direction remains the same.
x>\frac{319\times 100}{300}
Express \frac{319}{300}\times 100 as a single fraction.
x>\frac{31900}{300}
Multiply 319 and 100 to get 31900.
x>\frac{319}{3}
Reduce the fraction \frac{31900}{300} to lowest terms by extracting and canceling out 100.