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Answer :
To add the fractions [tex]\(\frac{1}{4}\)[/tex] and [tex]\(\frac{1}{25}\)[/tex], we first need to find a common denominator. Here's how you can do it step-by-step:
1. Identify the Denominators:
The denominators are 4 and 25.
2. Find a Common Denominator:
We need a common denominator that both 4 and 25 can divide into evenly. The least common multiple of 4 and 25 is 100.
3. Rewrite Each Fraction with the Common Denominator:
- For [tex]\(\frac{1}{4}\)[/tex], multiply the numerator and the denominator by 25 to get an equivalent fraction:
[tex]\(\frac{1}{4} = \frac{1 \times 25}{4 \times 25} = \frac{25}{100}\)[/tex]
- For [tex]\(\frac{1}{25}\)[/tex], multiply the numerator and the denominator by 4 to get an equivalent fraction:
[tex]\(\frac{1}{25} = \frac{1 \times 4}{25 \times 4} = \frac{4}{100}\)[/tex]
4. Add the Fractions:
Now, add the rewritten fractions:
[tex]\(\frac{25}{100} + \frac{4}{100} = \frac{25 + 4}{100} = \frac{29}{100}\)[/tex]
5. Convert to Decimal (if necessary):
[tex]\(\frac{29}{100}\)[/tex] can be converted to a decimal: 0.29
Therefore, the sum of [tex]\(\frac{1}{4}\)[/tex] and [tex]\(\frac{1}{25}\)[/tex] is [tex]\(\frac{29}{100}\)[/tex] or 0.29 in decimal form.
1. Identify the Denominators:
The denominators are 4 and 25.
2. Find a Common Denominator:
We need a common denominator that both 4 and 25 can divide into evenly. The least common multiple of 4 and 25 is 100.
3. Rewrite Each Fraction with the Common Denominator:
- For [tex]\(\frac{1}{4}\)[/tex], multiply the numerator and the denominator by 25 to get an equivalent fraction:
[tex]\(\frac{1}{4} = \frac{1 \times 25}{4 \times 25} = \frac{25}{100}\)[/tex]
- For [tex]\(\frac{1}{25}\)[/tex], multiply the numerator and the denominator by 4 to get an equivalent fraction:
[tex]\(\frac{1}{25} = \frac{1 \times 4}{25 \times 4} = \frac{4}{100}\)[/tex]
4. Add the Fractions:
Now, add the rewritten fractions:
[tex]\(\frac{25}{100} + \frac{4}{100} = \frac{25 + 4}{100} = \frac{29}{100}\)[/tex]
5. Convert to Decimal (if necessary):
[tex]\(\frac{29}{100}\)[/tex] can be converted to a decimal: 0.29
Therefore, the sum of [tex]\(\frac{1}{4}\)[/tex] and [tex]\(\frac{1}{25}\)[/tex] is [tex]\(\frac{29}{100}\)[/tex] or 0.29 in decimal form.
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