Calculate 3/7 of 56: Finding Girls in a First Grade Class

There are 56 students in a 1st grade school class.

37 \frac{3}{7} of them are girls.

How many girls are there in the class?

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Step-by-step written solution

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1

Understand the problem

There are 56 students in a 1st grade school class.

37 \frac{3}{7} of them are girls.

How many girls are there in the class?

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the total number of students - 56 students.
  • Step 2: Recognize that the fraction of students who are girls is 37\frac{3}{7}.
  • Step 3: Multiply the total number of students by the fraction to find the number of girls.

Now, let's work through each step:
Step 1: We are given that there are 56 students in total.
Step 2: The fraction of the students who are girls is 37\frac{3}{7}.
Step 3: To find the number of girls, compute:

Number of girls=56×37 \text{Number of girls} = 56 \times \frac{3}{7}

Perform the calculation:

56×37=56×37 56 \times \frac{3}{7} = \frac{56 \times 3}{7}

Simplify by canceling the common factor between 56 and 7:

=1687=24 = \frac{168}{7} = 24

Therefore, the solution to the problem is 24.

3

Final Answer

24

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\( \frac{1}{2}☐\frac{2}{4} \)

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