multiply -1.7 by 2 1/2. write the answer as a mixed number in simplest form
To multiply -1.7 by 2 1/2, we need to convert 2 1/2 to a decimal.
To convert 2 1/2 to a decimal, we first multiply the whole number, 2, by the denominator, 2:
2 * 2 = 4
Then, we add the product to the numerator, 1:
4 + 1 = 5
Finally, we divide the sum by the denominator:
5 ÷ 2 = 2.5
Now, we can multiply -1.7 by 2.5:
-1.7 * 2.5 = -4.25
To write the answer as a mixed number in simplest form, we convert the decimal to a fraction.
Ignore the sign for a moment and convert 4.25 to an improper fraction.
Since there are two decimal places, we can write 4.25 as 425/100.
Now, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 25.
425 ÷ 25 = 17
100 ÷ 25 = 4
Therefore, 4.25 is equal to the fraction 425/100, which simplifies to 17/4.
Now, we bring the sign back. As we multiplied a negative number, -1.7, by a positive number, 2.5, the resulting fraction will be negative.
So, the final answer as a mixed number in simplest form is:
-4 1/4.
To multiply -1.7 by 2 1/2, follow these steps:
Step 1: Convert the mixed number into an improper fraction:
2 1/2 = (2 * 2 + 1) / 2 = 5/2
Step 2: Multiply -1.7 by 5/2:
-1.7 * 5/2 = -1.7/1 * 5/2
Step 3: Multiply the numerators and the denominators:
-1.7 * 5 = -8.5
1 * 2 = 2
Step 4: Simplify the fraction if possible:
The fraction -8.5/2 cannot be simplified further.
Step 5: Write the answer as a mixed number:
To convert the improper fraction -8.5/2 into a mixed number:
Divide the numerator (-8.5) by the denominator (2):
-8.5 ÷ 2 = -4.25
So, the answer, in mixed number form, is -4 1/4
To multiply -1.7 by 2 1/2, we can follow these steps:
Step 1: Convert the mixed number, 2 1/2, to an improper fraction.
To do this, we multiply the whole number (2) by the denominator (2) and add the numerator (1). This gives us (2*2 + 1) / 2 = 5/2.
Step 2: Multiply -1.7 by 5/2.
To multiply decimals by fractions, we can ignore the decimal point and treat the decimal as a whole number. So, -1.7 can be written as -17/10.
Now we have (-17/10) * (5/2).
Step 3: Simplify the fractions.
Multiply the numerators (-17 * 5) and multiply the denominators (10 * 2) to get -85/20.
Step 4: Simplify the resulting fraction.
To simplify the fraction -85/20, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case.
Dividing the numerator -85 by 5 gives us -17, and dividing the denominator 20 by 5 gives us 4.
So, the simplified fraction is -17/4.
Step 5: Convert the simplified fraction back to a mixed number, if necessary.
To write -17/4 as a mixed number, we divide the numerator (-17) by the denominator (4). The quotient is the whole number, and the remainder is the numerator of the fraction part.
Dividing -17 by 4 gives us -4 with a remainder of -1.
Therefore, the answer as a mixed number in simplest form is -4 1/4.