Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
To solve the fraction operation [tex]\(\frac{3}{8} + \left( -\frac{15}{52} \right) \)[/tex] and express the result as a mixed number, follow these steps:
1. Find a Common Denominator:
To add the fractions, we need a common denominator. The denominators are 8 and 52. The least common multiple (LCM) of 8 and 52 is 104.
2. Express Each Fraction with a Common Denominator:
Convert both fractions to have the denominator 104.
For [tex]\(\frac{3}{8}\)[/tex]:
[tex]\[ \frac{3}{8} = \frac{3 \times 13}{8 \times 13} = \frac{39}{104} \][/tex]
For [tex]\(-\frac{15}{52}\)[/tex]:
[tex]\[ -\frac{15}{52} = -\frac{15 \times 2}{52 \times 2} = -\frac{30}{104} \][/tex]
3. Add the Fractions:
Now, add the two fractions together:
[tex]\[ \frac{39}{104} + \left(-\frac{30}{104}\right) = \frac{39 - 30}{104} = \frac{9}{104} \][/tex]
4. Convert to a Mixed Number:
Since [tex]\(\frac{9}{104}\)[/tex] is a proper fraction (where the numerator is less than the denominator), it cannot be expressed as a mixed number with a whole part different from zero.
Nevertheless, for completeness:
- A mixed number format includes a whole number part and a fractional part. Since the whole number part is zero:
[tex]\[ 0 \frac{9}{104} \rightarrow (0, \frac{9}{104}) \][/tex]
5. Simplify the Fraction (if needed):
The fraction [tex]\(\frac{9}{104}\)[/tex] is already in its simplest form because there are no common factors, other than 1, between 9 (numerator) and 104 (denominator).
6. Final Answer:
The sum of [tex]\(\frac{3}{8} + \left( -\frac{15}{52} \right) \)[/tex] is:
[tex]\[ \frac{9}{104}, \text{ or in mixed number form: } 0 \frac{9}{104} \][/tex]
Therefore, the solution to [tex]\(\frac{3}{8} + \left( -\frac{15}{52} \right)\)[/tex] as a mixed number in lowest terms is [tex]\(\left(0, \frac{9}{104}\right)\)[/tex].
1. Find a Common Denominator:
To add the fractions, we need a common denominator. The denominators are 8 and 52. The least common multiple (LCM) of 8 and 52 is 104.
2. Express Each Fraction with a Common Denominator:
Convert both fractions to have the denominator 104.
For [tex]\(\frac{3}{8}\)[/tex]:
[tex]\[ \frac{3}{8} = \frac{3 \times 13}{8 \times 13} = \frac{39}{104} \][/tex]
For [tex]\(-\frac{15}{52}\)[/tex]:
[tex]\[ -\frac{15}{52} = -\frac{15 \times 2}{52 \times 2} = -\frac{30}{104} \][/tex]
3. Add the Fractions:
Now, add the two fractions together:
[tex]\[ \frac{39}{104} + \left(-\frac{30}{104}\right) = \frac{39 - 30}{104} = \frac{9}{104} \][/tex]
4. Convert to a Mixed Number:
Since [tex]\(\frac{9}{104}\)[/tex] is a proper fraction (where the numerator is less than the denominator), it cannot be expressed as a mixed number with a whole part different from zero.
Nevertheless, for completeness:
- A mixed number format includes a whole number part and a fractional part. Since the whole number part is zero:
[tex]\[ 0 \frac{9}{104} \rightarrow (0, \frac{9}{104}) \][/tex]
5. Simplify the Fraction (if needed):
The fraction [tex]\(\frac{9}{104}\)[/tex] is already in its simplest form because there are no common factors, other than 1, between 9 (numerator) and 104 (denominator).
6. Final Answer:
The sum of [tex]\(\frac{3}{8} + \left( -\frac{15}{52} \right) \)[/tex] is:
[tex]\[ \frac{9}{104}, \text{ or in mixed number form: } 0 \frac{9}{104} \][/tex]
Therefore, the solution to [tex]\(\frac{3}{8} + \left( -\frac{15}{52} \right)\)[/tex] as a mixed number in lowest terms is [tex]\(\left(0, \frac{9}{104}\right)\)[/tex].
Answer:
hello
Step-by-step explanation:
3/8 +(-15/52)
=13x3/8x13 - 2x15/52x2
=39/104 - 30/104
=9/104
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
