Fraction Remainder Practice Problems - Mixed Numbers & Division

To solve this problem, we need to convert the visual representation of a fraction into words. Let's break down the process step by step:

Step 1: Identify the given visual information

The given image is a circle, which represents a whole. It has two distinct halves divided by a vertical line. One half is shaded, which indicates the fraction that we need to express in words.

Step 2: Determine the fraction represented

Given that one half of the circle is shaded, it indicates that this is one part of two equal parts.

Step 3: Write the fraction in words

The fraction that corresponds to one out of two equal parts is $\frac{1}{2}$, expressed in words as "half."

Therefore, the fraction shown in the picture, expressed in words, is Half.

To solve this problem, we need to translate the visual fraction representation into words:

• Step 1: Recognize the grid is a 3x3 matrix, making a total of $3 \times 3 = 9$ squares.
• Step 2: Count the shaded squares, which appear to number 3 squares.
• Step 3: Write this as a fraction: the number of shaded squares (3) over the total squares (9). This fraction is $\frac{3}{9}$.
• Step 4: Convert the fraction $\frac{3}{9}$ into words. This is read as "three ninths".

Thus, the fraction shown in the picture, in words, is three ninths.

To solve the problem of expressing the fraction in words, follow these steps:

• Step 1: Count the total number of sections in the grid to determine the denominator.
• Step 2: Count the number of shaded sections to determine the numerator.
• Step 3: Write the fraction as a phrase using words.

Now, let's work through these steps:

Step 1: The grid consists of a $3 \times 3$ layout, which means there are 9 total sections. Therefore, the denominator of our fraction is 9.

Step 2: Observe and count the number of shaded sections within the grid. In this case, there are 4 shaded sections. Therefore, the numerator is 4.

Step 3: With a fraction identified as $\frac{4}{9}$, we can express this in words as "four ninths."

Therefore, the solution to the problem is four ninths.

Step 1: Count the total sections
The circle is divided into 8 equal sections.
Step 2: Count the shaded sections
There are 6 shaded sections in the diagram.
Step 3: Formulate the fraction
The fraction of the shaded area is $\frac{6}{8}$.
Step 4: Express in words
The fraction $\frac{6}{8}$ in words is "six eighths".

Therefore, the solution to the problem is "six eighths".

To solve the problem, we will convert the given improper fraction $\frac{10}{7}$ to a mixed number by dividing the numerator by the denominator.

• Step 1: Divide the numerator (10) by the denominator (7). This gives a quotient and a remainder.

• Step 2: Calculating $10 \div 7$ gives a quotient of 1 because 7 goes into 10 once.

• Step 3: Multiply the quotient by the divisor ($1 \times 7 = 7$).

• Step 4: Subtract the product obtained in step 3 from the original numerator to find the remainder: $10 - 7 = 3$.

• Step 5: Compose the mixed number using the quotient as the whole number and the remainder over the divisor as the fraction part: $\frac{3}{7}$.

Thus, the mixed number representation of $\frac{10}{7}$ is $\mathbf{1\frac{3}{7}}$.