IDNLearn.com makes it easy to find precise answers to your specific questions. Our platform offers reliable and comprehensive answers to help you make informed decisions quickly and easily.
Sagot :
To solve the division of the fractions \(-\frac{3}{7} \div \frac{3}{8}\), follow these steps:
1. Rewrite the Division as Multiplication by the Reciprocal:
When dividing by a fraction, you can convert the operation to multiplication by the reciprocal of the second fraction. The reciprocal of \(\frac{3}{8}\) is \(\frac{8}{3}\). Therefore, the expression becomes:
[tex]\[ -\frac{3}{7} \div \frac{3}{8} = -\frac{3}{7} \times \frac{8}{3} \][/tex]
2. Multiply the Numerators and the Denominators:
Multiply the numerators of the fractions together and the denominators together:
[tex]\[ \left( -\frac{3 \times 8}{7 \times 3} \right) \][/tex]
This simplifies to:
[tex]\[ -\frac{24}{21} \][/tex]
3. Simplify the Fraction:
The fraction \(-\frac{24}{21}\) can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:
[tex]\[ -\frac{24 \div 3}{21 \div 3} = -\frac{8}{7} \][/tex]
4. Convert to Decimal (If Needed):
To express \(-\frac{8}{7}\) as a decimal:
[tex]\[ -\frac{8}{7} \approx -1.1428571428571428 \][/tex]
Thus, the result of the division [tex]\(-\frac{3}{7} \div \frac{3}{8}\)[/tex] is [tex]\(-1.1428571428571428\)[/tex].
1. Rewrite the Division as Multiplication by the Reciprocal:
When dividing by a fraction, you can convert the operation to multiplication by the reciprocal of the second fraction. The reciprocal of \(\frac{3}{8}\) is \(\frac{8}{3}\). Therefore, the expression becomes:
[tex]\[ -\frac{3}{7} \div \frac{3}{8} = -\frac{3}{7} \times \frac{8}{3} \][/tex]
2. Multiply the Numerators and the Denominators:
Multiply the numerators of the fractions together and the denominators together:
[tex]\[ \left( -\frac{3 \times 8}{7 \times 3} \right) \][/tex]
This simplifies to:
[tex]\[ -\frac{24}{21} \][/tex]
3. Simplify the Fraction:
The fraction \(-\frac{24}{21}\) can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3:
[tex]\[ -\frac{24 \div 3}{21 \div 3} = -\frac{8}{7} \][/tex]
4. Convert to Decimal (If Needed):
To express \(-\frac{8}{7}\) as a decimal:
[tex]\[ -\frac{8}{7} \approx -1.1428571428571428 \][/tex]
Thus, the result of the division [tex]\(-\frac{3}{7} \div \frac{3}{8}\)[/tex] is [tex]\(-1.1428571428571428\)[/tex].
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.