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Chapter 1: Problem 344

Translate from math notation to words. $$\frac{56}{7}$$

Short Answer

Expert verified
Fifty-six divided by seven.

Step by step solution

01

Identify the Numbers

Recognize the numbers in the fraction: 56 and 7.
02

Understand the Fraction

Understand that the fraction \(\frac{56}{7}\) represents division: 56 divided by 7.
03

Perform the Division

Carry out the operation: divide 56 by 7 to get the result.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Division
Division is one of the basic operations in arithmetic, where a number is divided into equal parts.
In the given exercise, we are dealing with the division operation represented in the form of a fraction.
By dividing the numerator (the number on top, 56) by the denominator (the number on the bottom, 7), we can determine how many times 7 can fit into 56.
Division can be done using various methods, such as:
  • Long Division
  • Short Division
  • Using a calculator
In this exercise, we simply calculate that 56 divided by 7 equals 8.
This understanding of division as repeated subtraction can help in recognizing how fractions simplify complex mathematical concepts.
Fractions
A fraction represents a part of a whole or a division of quantities.
The fraction in question here is \(\frac{56}{7}\).
A fraction consists of two numbers: the numerator (top number) and the denominator (bottom number).
For \(\frac{56}{7}\), 56 is the numerator, and 7 is the denominator.
Reading this fraction as 鈥�56 divided by 7鈥� helps in understanding its value, which is 8.
Fractions are used frequently in math to simplify and represent numbers accurately.
They can be added, subtracted, multiplied, and divided.
Understanding fractions is crucial for many advanced mathematical concepts.
Step-by-Step Solutions
Breaking down a math problem into smaller steps can make it more manageable and easier to understand.
Let's go through the provided solution step by step:
  • Step 1: Identify the Numbers: Recognize the numbers in the fraction, which are 56 and 7.

  • Step 2: Understand the Fraction: Understand that the fraction \(\frac{56}{7}\) represents division: 56 divided by 7.

  • Step 3: Perform the Division: Carry out the operation: divide 56 by 7 to get the result, which is 8.
These steps provide a clear method to tackle division problems involving fractions.
Following each step carefully ensures a correct and understandable solution.
This method of step-by-step problem-solving can be applied to other mathematical operations, improving overall comprehension.

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