Multiply-1.7 by 2 1/2. Write the answer as a mixed number in simplest form
-4 1/4
-4 5/20
-17/4
-2 34/100
To multiply -1.7 by 2 1/2, we first convert 2 1/2 to a decimal.
2 1/2 can be written as 5/2.
So, we have -1.7 multiplied by 5/2.
-1.7 * 5/2 = -1.7 * 5 / 2 = -8.5 / 2 = -4.25
The answer as a mixed number in simplest form is -4 1/4. Therefore, the correct answer is -4 1/4.
To multiply -1.7 by 2 1/2, you can follow these steps:
Step 1: Convert 2 1/2 to an improper fraction.
2 1/2 = (2 * 2) + 1/2 = 5/2
Step 2: Multiply -1.7 by 5/2.
-1.7 * 5/2 = (-1.7 * 5) / 2 = (-8.5) / 2 = -8.5/2
Step 3: Simplify the fraction.
-8.5/2 = -17/4
So, the answer is -17/4.
To find the product of -1.7 and 2 ½, we can follow these steps:
Step 1: Convert 2 ½ to an improper fraction.
To convert a mixed number to an improper fraction, multiply the whole number (2) by the denominator (2) and add the numerator (1).
2 × 2 + 1 = 4 + 1 = 5
So, 2 ½ as an improper fraction is 5/2.
Step 2: Multiply -1.7 by 5/2.
To multiply a decimal (like -1.7) by a fraction (like 5/2), follow these steps:
- Ignore the negative sign for now.
- Multiply the absolute value of the decimal (1.7) by the numerator (5).
- Write this product over the denominator (2).
- Include the negative sign if applicable.
1.7 × 5 = 8.5
So, -1.7 × 5/2 = -8.5/2 or -17/4.
Step 3: Convert the improper fraction to a mixed number in simplest form.
To convert the improper fraction -17/4 to a mixed number, follow these steps:
- Divide the numerator (17) by the denominator (4).
- Write the quotient as the whole number.
- The remainder becomes the new numerator, while the denominator remains the same.
17 ÷ 4 = 4 with a remainder of 1.
So, the mixed number in simplest form is -4 1/4.
Therefore, the answer is -4 1/4.