estimate by rounding each term to the nearest whole number 4 2/5 +5/6
4 2/5 is close to 4
5/6 is close to 1
4 + 1 = 5
the first number rounds to 4 and the second one rounds to 1
so add =5
To estimate the sum of 4 2/5 and 5/6 by rounding each term to the nearest whole number, you can follow these steps:
Step 1: Convert the mixed number 4 2/5 to an improper fraction.
To do this, multiply the whole number (4) by the denominator (5), and then add the numerator (2). This gives us a numerator of 22.
Combine the numerator (22) and the denominator (5) to get the improper fraction 22/5.
Step 2: Find a whole number approximation for 22/5.
To do this, you can divide the numerator (22) by the denominator (5) using long division. The quotient is 4 with a remainder of 2.
Since the remainder is less than half of the denominator, you can round down and approximate 22/5 to the nearest whole number as 4.
Step 3: Convert the fraction 5/6 to a whole number.
To do this, divide the numerator (5) by the denominator (6) using long division. The quotient is 0 with a remainder of 5.
Since the remainder is more than half of the denominator, you can round up and approximate 5/6 to the nearest whole number as 1.
Step 4: Calculate the sum of the approximated numbers.
Add the approximated numbers 4 and 1 together to get an estimate for the original expression.
4 + 1 = 5
Therefore, by rounding each term to the nearest whole number, the estimated sum of 4 2/5 and 5/6 is 5.