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A=\left(\frac{15}{4}-\frac{10}{4}\right)\times \frac{7}{5}
Least common multiple of 4 and 2 is 4. Convert \frac{15}{4} and \frac{5}{2} to fractions with denominator 4.
A=\frac{15-10}{4}\times \frac{7}{5}
Since \frac{15}{4} and \frac{10}{4} have the same denominator, subtract them by subtracting their numerators.
A=\frac{5}{4}\times \frac{7}{5}
Subtract 10 from 15 to get 5.
A=\frac{5\times 7}{4\times 5}
Multiply \frac{5}{4} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.
A=\frac{7}{4}
Cancel out 5 in both numerator and denominator.