Multiply -1.7 by 2 1/2. Write the answer as a mixed number in simplest form.
A. -4 5/20
B. -17/4
C. -4 1/4
D. -2 34/100
C. -4 1/4
To multiply -1.7 by 2 1/2, we first convert the mixed number 2 1/2 into an improper fraction. The whole number 2 is multiplied by the denominator (2) and then added to the numerator (1) to get 5. So, 2 1/2 is equivalent to the fraction 5/2.
Next, we multiply -1.7 by 5/2:
-1.7 * 5/2 = (-17/10) * (5/2)
To multiply fractions, we multiply the numerators together and the denominators together. Therefore, we have:
(-17/10) * (5/2) = ( -17 * 5 ) / ( 10 * 2 ) = -85/20
The fraction -85/20 can be simplified by dividing the numerator and denominator by their greatest common divisor (GCD), which is 5:
-85 ÷ 5 / 20 ÷ 5 = -17/4
Therefore, the answer is -17/4 in simplest form, which is option B.
To multiply -1.7 by 2 1/2, you need to convert the mixed number to a fraction.
The mixed number 2 1/2 can be written as an improper fraction by multiplying the whole number (2) by the denominator of the fraction (2), and then adding the numerator (1).
2 * 2 + 1 = 5
So, 2 1/2 can be written as the improper fraction 5/2.
To multiply -1.7 and 5/2, you multiply the numerators (-1.7 * 5) and the denominators (1 * 2), giving you -8.5/2.
To simplify the fraction, you divide the numerator (-8.5) by the denominator (2):
-8.5 ÷ 2 = -4.25
Since the question asks for the answer as a mixed number in simplest form, you can convert -4.25 to a mixed number.
The whole number part is obtained by dividing the numerator (-4.25) by the denominator (1). The dividend is -4.25 and the divisor is 1, so the quotient is -4.
The fractional part is obtained by taking the remainder from the previous division (0.25) and placing it over the original denominator (1), giving you 1/4.
Therefore, the answer is -4 1/4.
Therefore, the correct answer is C. -4 1/4.