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x\times \frac{10.42}{100}=0.61\times 365
Multiply both sides by 365.
x\times \frac{1042}{10000}=0.61\times 365
Expand \frac{10.42}{100} by multiplying both numerator and the denominator by 100.
x\times \frac{521}{5000}=0.61\times 365
Reduce the fraction \frac{1042}{10000} to lowest terms by extracting and canceling out 2.
x\times \frac{521}{5000}=222.65
Multiply 0.61 and 365 to get 222.65.
x=222.65\times \frac{5000}{521}
Multiply both sides by \frac{5000}{521}, the reciprocal of \frac{521}{5000}.
x=\frac{4453}{20}\times \frac{5000}{521}
Convert decimal number 222.65 to fraction \frac{22265}{100}. Reduce the fraction \frac{22265}{100} to lowest terms by extracting and canceling out 5.
x=\frac{4453\times 5000}{20\times 521}
Multiply \frac{4453}{20} times \frac{5000}{521} by multiplying numerator times numerator and denominator times denominator.
x=\frac{22265000}{10420}
Do the multiplications in the fraction \frac{4453\times 5000}{20\times 521}.
x=\frac{1113250}{521}
Reduce the fraction \frac{22265000}{10420} to lowest terms by extracting and canceling out 20.