Solve Sequential Division: (4+7+3):2:3 Step-by-Step

Question

Solve the following problem:

(4+7+3):2:3= (4+7+3):2:3=

Video Solution

Solution Steps

00:00 Solve the following problem
00:03 We always solve the parentheses first
00:06 Given that within the parentheses there is only addition, we solve from left to right
00:12 Now we only have division so we solve from left to right
00:15 Each time we solve the 2 leftmost terms
00:23 We represent division as a fraction
00:29 Let's break down the numerator to understand the numerical representation
00:45 A number divided by itself always equals 1
00:54 We continue with the same operations
01:06 This is the numerical representation of the fraction we had (7\3)
01:10 This is the solution to the question
01:10 This is the solution to the question

Step-by-Step Solution

Let's simplify this expression whilst making sure to follow the order of operations. Exponents precede multiplication and division, which in turn precede addition and subtraction, and that parentheses precede all of the above.

Therefore, we'll start by simplifying the expressions inside of the parentheses first:
(4+7+3):2:3=14:2:3 (4+7+3):2:3= \\ 14:2:3

We'll continue and calculate the result of the expression obtained in the last stage, step by step from left to right (which is the regular order of arithmetic operations):

14:2:3=7:3=73=213 14:2:3 =\\ 7:3 =\\ \frac{7}{3}=\\ 2\frac{1}{3}

In the second stage where we performed the last division operation, we wrote the result as an improper fraction (a fraction where the numerator is greater than the denominator) given that this operation's result is not a whole number. Later, we converted it to a mixed number by finding the whole numbers and adding the remainder divided by the divisor (3),

Therefore, the correct answer is answer A.

Answer

213 2\frac{1}{3}