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Subtracting a Fraction from a whole number - YouTube - Free Printable

Subtracting a Fraction from a whole number - YouTube

Educational worksheet: Subtracting a Fraction from a whole number - YouTube. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Subtracting a Fraction from a whole number - YouTube
The problem is to subtract a fraction from a whole number. The given expression is:

$$
6 - \frac{1}{5}
$$

Step-by-Step Solution:



1. Understand the Problem:
- We need to subtract the fraction \(\frac{1}{5}\) from the whole number 6.
- To perform this subtraction, it is helpful to express the whole number 6 as a fraction with the same denominator as \(\frac{1}{5}\).

2. Express 6 as a Fraction:
- The whole number 6 can be written as \(\frac{6}{1}\).
- To have a common denominator with \(\frac{1}{5}\), we rewrite 6 as:
$$
6 = \frac{6 \times 5}{1 \times 5} = \frac{30}{5}
$$

3. Subtract the Fractions:
- Now that both numbers are expressed as fractions with the same denominator, we can subtract them directly:
$$
6 - \frac{1}{5} = \frac{30}{5} - \frac{1}{5}
$$
- Subtract the numerators while keeping the denominator the same:
$$
\frac{30}{5} - \frac{1}{5} = \frac{30 - 1}{5} = \frac{29}{5}
$$

4. Simplify if Necessary:
- The fraction \(\frac{29}{5}\) is already in its simplest form. However, it can also be expressed as a mixed number:
$$
\frac{29}{5} = 5 \frac{4}{5}
$$
(Since \(29 \div 5 = 5\) with a remainder of 4.)

Final Answer:


The result of \(6 - \frac{1}{5}\) is:

$$
\boxed{\frac{29}{5}}
$$

Alternatively, in mixed number form:

$$
\boxed{5 \frac{4}{5}}
$$
Parent Tip: Review the logic above to help your child master the concept of subtracting fractions with whole numbers.
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