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

Sequential Division with Mixed Number Results

Solve the following problem:

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following problem:

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

2

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.

3

Final Answer

213 2\frac{1}{3}

Key Points to Remember

Essential concepts to master this topic
  • Order of Operations: Parentheses first, then left-to-right division
  • Sequential Division: Work step by step: 14 ÷ 2 = 7, then 7 ÷ 3 = 7/3
  • Check: Convert final fraction to mixed number: 7/3 = 2⅓ ✓

Common Mistakes

Avoid these frequent errors
  • Dividing by both numbers at once
    Don't calculate (4+7+3) ÷ (2×3) = 14 ÷ 6 = 7/3! This treats the division as one operation instead of two separate steps. Always divide sequentially from left to right: first by 2, then by 3.

Practice Quiz

Test your knowledge with interactive questions

Solve the following equation:

\( 25 - (8 + 5) = \)

FAQ

Everything you need to know about this question

Why can't I just divide 14 by 6 instead of doing two separate divisions?

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Sequential division means you divide one at a time from left to right, not all at once! 14:2:3 14:2:3 means first 14÷2=7 14÷2=7 , then 7÷3=73 7÷3=\frac{7}{3} .

What's the difference between 7/3 and 2⅓?

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They're the same value written differently! 73 \frac{7}{3} is an improper fraction, while 213 2\frac{1}{3} is a mixed number. Both equal 2.333...

How do I convert 7/3 to a mixed number?

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Divide the numerator by the denominator: 7 ÷ 3 = 2 remainder 1. So 73=213 \frac{7}{3} = 2\frac{1}{3} (2 wholes and 1/3 left over).

Do I always need to simplify my final answer?

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Yes! Always check if your fraction can be reduced or converted to a mixed number. It makes your answer clearer and shows you understand equivalent forms.

What if I forgot to do the parentheses first?

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You'd get a completely wrong answer! Always follow PEMDAS/BODMAS: parentheses (brackets) come before any other operations, so calculate 4+7+3=14 4+7+3=14 first.

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