First estimate the answer then find the exact answer simplify your answer if possible 4•2&3/4
What is your estimate?
What is the nearest whole number to 2 3/4?
To estimate the answer, we can round 2 & 3/4 down to 2. So, the estimation of 4 • 2 & 3/4 would be 4 • 2, which is 8.
To find the exact answer and simplify it if possible, we multiply:
4 • 2 & 3/4 = 4 • (2 + 3/4)
Now, let's distribute the multiplication:
4 • 2 + 4 • 3/4
This simplifies to:
8 + (4/1) • (3/4)
Multiplying straight across:
8 + 12/4
Simplifying the fraction 12/4 to its simplest form:
8 + 3
So, the exact answer, simplified if possible, is:
8 + 3 = 11
To estimate the answer, we can round the numbers to the nearest whole numbers and then perform the calculation:
4 rounded to the nearest whole number is 4.
2.75 rounded to the nearest whole number is 3.
Now, we can perform the estimation calculation: 4 multiplied by 3 equals 12.
To find the exact answer and simplify it, we need to work with mixed numbers.
First, let's convert the mixed number 2 & 3/4 into an improper fraction. To do that, we multiply the whole number (2) by the denominator (4) and add the numerator (3) to the result. So, 2 & 3/4 is equal to (2 × 4) + 3 = 8 + 3 = 11/4.
Now, we multiply 4 by 11/4:
4 × 11/4 = (4 × 11) / 4 = 44/4.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4:
44/4 ÷ 4/4 = 11/1.
Therefore, the exact answer, simplified if possible, is 11.