🎓 4th Grade
📚 4th Grade Math
💡 4th Grade Math: Fractions and Decimals Practice Questions
4th Grade Math: Fractions and Decimals Practice Questions
Example 1:
💡 Look at the image below (imagine a circle divided into 6 equal parts, with 4 parts shaded).
What fraction of the circle is shaded?
What fraction of the circle is shaded?
Solution:
- 📌 Step 1: Count the total number of equal parts.
The circle is divided into 6 equal parts. This will be our denominator. - 📌 Step 2: Count the number of shaded parts.
There are 4 shaded parts. This will be our numerator. - ✅ Step 3: Write the fraction.
The fraction of the circle that is shaded is \( \frac{4}{6} \).
Example 2:
👉 Find an equivalent fraction for \( \frac{1}{3} \).
Solution:
- 📌 Step 1: Understand equivalent fractions.
Equivalent fractions represent the same value, even though they have different numerators and denominators. - 📌 Step 2: Multiply the numerator and the denominator by the same non-zero number.
Let's choose to multiply by 2. - \[ \frac{1 \times 2}{3 \times 2} = \frac{2}{6} \]
- ✅ Step 3: State the equivalent fraction.
So, \( \frac{2}{6} \) is an equivalent fraction for \( \frac{1}{3} \). (You could also multiply by 3, 4, or any other number!)
Example 3:
Compare the following fractions using \( < \), \( > \), or \( = \):
\( \frac{3}{8} \) ____ \( \frac{5}{8} \)
\( \frac{3}{8} \) ____ \( \frac{5}{8} \)
Solution:
- 📌 Step 1: Look at the denominators.
Both fractions have the same denominator, which is 8. This means they are divided into the same number of equal parts. - 📌 Step 2: Compare the numerators.
Now, compare the numerators: 3 and 5.
Since 3 is less than 5, \( 3 < 5 \).- ✅ Step 3: Write the comparison.
Therefore, \( \frac{3}{8} < \frac{5}{8} \).
Example 4:
Add the following fractions:
\( \frac{2}{7} + \frac{3}{7} \)
\( \frac{2}{7} + \frac{3}{7} \)
Solution:
- 📌 Step 1: Check if the denominators are the same.
Yes, both fractions have a denominator of 7. - 📌 Step 2: Add the numerators.
Add 2 and 3: \( 2 + 3 = 5 \). - 📌 Step 3: Keep the denominator the same.
The denominator remains 7. - ✅ Step 4: Write the sum.
The sum is \( \frac{5}{7} \).
\[ \frac{2}{7} + \frac{3}{7} = \frac{2+3}{7} = \frac{5}{7} \]
Example 5:
🍪 Maya baked 20 cookies. She gave \( \frac{1}{4} \) of the cookies to her neighbor. How many cookies did Maya give to her neighbor?
Solution:
- 📌 Step 1: Understand the problem.
Maya has a total of 20 cookies. She gave away a fraction of them, \( \frac{1}{4} \). We need to find out how many actual cookies that represents. - 📌 Step 2: Divide the total number of cookies by the denominator of the fraction.
The denominator is 4, so we divide 20 by 4: \( 20 \div 4 = 5 \). This means each "fourth" of the cookies is 5 cookies. - 📌 Step 3: Multiply the result by the numerator of the fraction.
The numerator is 1, so we multiply 5 by 1: \( 5 \times 1 = 5 \). - ✅ Step 4: State the answer.
Maya gave 5 cookies to her neighbor.
Example 6:
Write the fraction \( \frac{9}{10} \) as a decimal.
Solution:
- 📌 Step 1: Look at the denominator.
The denominator is 10. This means we are looking for a value in the tenths place. - 📌 Step 2: Place the numerator in the tenths place.
The numerator is 9. In decimals, the first digit after the decimal point is the tenths place. - ✅ Step 3: Write the decimal.
\( \frac{9}{10} \) written as a decimal is \( 0.9 \).
Example 7:
Which decimal is greater: \( 0.6 \) or \( 0.58 \)?
Solution:
- 📌 Step 1: Make sure both decimals have the same number of decimal places.
\( 0.6 \) has one decimal place (tenths). \( 0.58 \) has two decimal places (hundredths).
We can add a zero to \( 0.6 \) without changing its value, making it \( 0.60 \).- 📌 Step 2: Compare the decimals from left to right.
Now we compare \( 0.60 \) and \( 0.58 \).
Both have 0 in the ones place.
In the tenths place, \( 0.60 \) has a 6, and \( 0.58 \) has a 5.
Since \( 6 > 5 \), we know that \( 0.60 \) is greater than \( 0.58 \).- ✅ Step 3: State the greater decimal.
\( 0.6 \) is greater than \( 0.58 \).
Example 8:
💰 Sarah bought a juice box for \( \1.75 \) and a pencil for \( \0.50 \). How much money did Sarah spend in total?
Solution:
- 📌 Step 1: Identify the amounts Sarah spent.
Juice box: \( \1.75 \)
Pencil: \( \0.50 \) - 📌 Step 2: Add the amounts together.
We need to find the total, so we add the two decimal amounts. - \[ \1.75 \] \[ + \0.50 \] \[ ----- \]
- 📌 Step 3: Add the hundredths column.
\( 5 + 0 = 5 \). - 📌 Step 4: Add the tenths column.
\( 7 + 5 = 12 \). Write down 2 and carry over 1 to the ones column. - 📌 Step 5: Add the ones column (including the carried over number).
\( 1 + 1 + 0 = 2 \). - 📌 Step 6: Place the decimal point in the answer.
The decimal point should be aligned with the decimal points in the numbers being added. - \[ \1.75 \] \[ + \0.50 \] \[ ----- \] \[ \2.25 \]
- ✅ Step 7: State the total amount spent.
Sarah spent a total of \( \2.25 \).
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