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1\times 7+3=\frac{21}{4}\times \frac{1\times 5+1}{5}
Multiply both sides of the equation by 7.
7+3=\frac{21}{4}\times \frac{1\times 5+1}{5}
Multiply 1 and 7 to get 7.
10=\frac{21}{4}\times \frac{1\times 5+1}{5}
Add 7 and 3 to get 10.
10=\frac{21}{4}\times \frac{5+1}{5}
Multiply 1 and 5 to get 5.
10=\frac{21}{4}\times \frac{6}{5}
Add 5 and 1 to get 6.
10=\frac{21\times 6}{4\times 5}
Multiply \frac{21}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.
10=\frac{126}{20}
Do the multiplications in the fraction \frac{21\times 6}{4\times 5}.
10=\frac{63}{10}
Reduce the fraction \frac{126}{20} to lowest terms by extracting and canceling out 2.
\frac{100}{10}=\frac{63}{10}
Convert 10 to fraction \frac{100}{10}.
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Compare \frac{100}{10} and \frac{63}{10}.