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17.4v+17.4\times \frac{1}{4}
Use the distributive property to multiply 17.4 by v+\frac{1}{4}.
17.4v+\frac{87}{5}\times \frac{1}{4}
Convert decimal number 17.4 to fraction \frac{174}{10}. Reduce the fraction \frac{174}{10} to lowest terms by extracting and canceling out 2.
17.4v+\frac{87\times 1}{5\times 4}
Multiply \frac{87}{5} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.
17.4v+\frac{87}{20}
Do the multiplications in the fraction \frac{87\times 1}{5\times 4}.
17.4v+17.4\times \frac{1}{4}
Use the distributive property to multiply 17.4 by v+\frac{1}{4}.
17.4v+\frac{87}{5}\times \frac{1}{4}
Convert decimal number 17.4 to fraction \frac{174}{10}. Reduce the fraction \frac{174}{10} to lowest terms by extracting and canceling out 2.
17.4v+\frac{87\times 1}{5\times 4}
Multiply \frac{87}{5} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.
17.4v+\frac{87}{20}
Do the multiplications in the fraction \frac{87\times 1}{5\times 4}.