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

Question

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

Video Solution

Solution Steps

00:00 Solve
00:03 We always solve parentheses first
00:06 Since in 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 And 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 while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of them,

Therefore, we'll start by simplifying the expressions in 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) because this operation's result doesn't give 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}