Comparing Fractions: Worded problems

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 $\frac{3}{7}$.
• 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 $\frac{3}{7}$.
Step 3: To find the number of girls, compute:

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

Perform the calculation:

$56 \times \frac{3}{7} = \frac{56 \times 3}{7}$

Simplify by canceling the common factor between 56 and 7:

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

Therefore, the solution to the problem is 24.

To determine how many essays Steve has marked when he finishes $\frac{2}{3}$ of the total, we perform the following calculation:

• Step 1: Identify the total number of essays, which is 30.
• Step 2: Determine the fraction of essays that are marked, $\frac{2}{3}$.
• Step 3: Multiply the total essays by the fraction marked:

$\frac{2}{3} \times 30 = \frac{2 \times 30}{3} = \frac{60}{3} = 20$

Therefore, Steve has marked 20 essays.

Thus, the correct number of essays Steve has marked is $\boxed{20}$.

To solve this problem, we will follow these steps:

• Step 1: Identify the given information and apply the formula.
• Step 2: Perform the necessary multiplication.

Let's begin:
Step 1: We know that there are 40 students in total, and $\frac{2}{5}$ of them are girls. According to the formula:
$\text{Number of girls} = 40 \times \frac{2}{5}$

Step 2: Perform the multiplication:
$\text{Number of girls} = 40 \times \frac{2}{5} = \frac{40 \times 2}{5} = \frac{80}{5}$

Dividing 80 by 5 gives us:
$\frac{80}{5} = 16$

Thus, the number of girls in the class is 16.

Therefore, the solution to the problem is $16$.

To solve this problem, let's follow these steps:

• Step 1: Identify the total number of slices, which is 8.
• Step 2: Multiply by the fraction that Daniel eats, $\frac{3}{4}$.

Now, let's perform the calculation:
$\frac{3}{4} \times 8$

The multiplication can be done by first rewriting 8 as a fraction:

$8 = \frac{8}{1}$

Thus the calculation becomes:
$\frac{3}{4} \times \frac{8}{1} = \frac{3 \times 8}{4 \times 1} = \frac{24}{4}$

Now, simplify $\frac{24}{4}$ by dividing the numerator by the denominator:
$\frac{24}{4} = 6$

Therefore, Daniel eats 6 slices of pizza.

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

• Step 1: Identify the given information: Total pages in the book are 210.
• Step 2: Apply the formula: Multiply the fraction read $\frac{2}{7}$ by the total pages (210).
• Step 3: Perform the calculation to find the number of pages read.

Now, let's work through each step:

Step 1: The problem provides that the total number of pages in the book is 210.

Step 2: We use the formula: Pages read = $\frac{2}{7} \times 210$.

Step 3: Calculate:

$\frac{2}{7} \times 210 = 2 \times \frac{210}{7} = 2 \times 30 = 60$.

Thus, Silvia has read 60 pages.

Therefore, the solution to the problem is 60 pages.