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Answer :
To solve the problem of adding the fractions [tex]\(\frac{1}{25}\)[/tex] and [tex]\(\frac{26}{37}\)[/tex], follow these steps:
1. Find a Common Denominator: To add fractions, they must have the same denominator. The easiest way to find a common denominator is to multiply the two denominators. So, you multiply 25 by 37.
2. Convert Each Fraction:
- For [tex]\(\frac{1}{25}\)[/tex], multiply both the numerator and the denominator by 37, turning it into [tex]\(\frac{37}{925}\)[/tex].
- For [tex]\(\frac{26}{37}\)[/tex], multiply both the numerator and the denominator by 25, turning it into [tex]\(\frac{650}{925}\)[/tex].
3. Add the Fractions: Now that both fractions have the same denominator, you can add them directly.
[tex]\[
\frac{37}{925} + \frac{650}{925} = \frac{687}{925}
\][/tex]
4. Convert the Fraction to a Decimal: To express [tex]\(\frac{687}{925}\)[/tex] as a decimal, divide 687 by 925.
The numerical result of this division is approximately 0.7427. Therefore, [tex]\(\frac{1}{25} + \frac{26}{37}\)[/tex] is approximately equal to 0.7427 when expressed as a decimal.
1. Find a Common Denominator: To add fractions, they must have the same denominator. The easiest way to find a common denominator is to multiply the two denominators. So, you multiply 25 by 37.
2. Convert Each Fraction:
- For [tex]\(\frac{1}{25}\)[/tex], multiply both the numerator and the denominator by 37, turning it into [tex]\(\frac{37}{925}\)[/tex].
- For [tex]\(\frac{26}{37}\)[/tex], multiply both the numerator and the denominator by 25, turning it into [tex]\(\frac{650}{925}\)[/tex].
3. Add the Fractions: Now that both fractions have the same denominator, you can add them directly.
[tex]\[
\frac{37}{925} + \frac{650}{925} = \frac{687}{925}
\][/tex]
4. Convert the Fraction to a Decimal: To express [tex]\(\frac{687}{925}\)[/tex] as a decimal, divide 687 by 925.
The numerical result of this division is approximately 0.7427. Therefore, [tex]\(\frac{1}{25} + \frac{26}{37}\)[/tex] is approximately equal to 0.7427 when expressed as a decimal.
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