IDNLearn.com makes it easy to get reliable answers from experts and enthusiasts alike. Find in-depth and trustworthy answers to all your questions from our experienced community members.
Sagot :
To solve the equation \(4 \frac{4}{5}=\frac{\square}{15}=\square\), we'll go through the process step-by-step:
1. Convert the mixed fraction to an improper fraction:
- The mixed fraction provided is \( 4 \frac{4}{5} \).
- To convert this mixed fraction to an improper fraction, first multiply the whole number part (4) by the denominator (5):
[tex]\[ 4 \times 5 = 20 \][/tex]
- Next, add the numerator of the fractional part (which is 4):
[tex]\[ 20 + 4 = 24 \][/tex]
- The improper fraction is thus \(\frac{24}{5}\).
2. Convert the improper fraction to an equivalent fraction with a denominator of 15:
- We need to express \(\frac{24}{5}\) with a denominator of 15.
- To do this, determine what number needs to multiply the current denominator (5) to make it 15:
[tex]\[ 5 \times 3 = 15 \][/tex]
- To maintain equivalence, we must also multiply the numerator (24) by the same number (3):
[tex]\[ 24 \times 3 = 72 \][/tex]
- Thus, \(\frac{24}{5}\) is equivalent to \(\frac{72}{15}\).
3. Express the result:
- The final simplified fraction \(\frac{72}{15}\) maintains the same value as the original mixed fraction \(4 \frac{4}{5}\).
- Hence, in the form \(\frac{\square}{15}\), we have:
[tex]\[ 4 \frac{4}{5} = \frac{72}{15} \][/tex]
- The box filled in for this problem is \(\boxed{72}\).
In conclusion, the full equation with the converted fraction is:
[tex]\[ 4 \frac{4}{5} = \frac{72}{15} = 72 \][/tex]
1. Convert the mixed fraction to an improper fraction:
- The mixed fraction provided is \( 4 \frac{4}{5} \).
- To convert this mixed fraction to an improper fraction, first multiply the whole number part (4) by the denominator (5):
[tex]\[ 4 \times 5 = 20 \][/tex]
- Next, add the numerator of the fractional part (which is 4):
[tex]\[ 20 + 4 = 24 \][/tex]
- The improper fraction is thus \(\frac{24}{5}\).
2. Convert the improper fraction to an equivalent fraction with a denominator of 15:
- We need to express \(\frac{24}{5}\) with a denominator of 15.
- To do this, determine what number needs to multiply the current denominator (5) to make it 15:
[tex]\[ 5 \times 3 = 15 \][/tex]
- To maintain equivalence, we must also multiply the numerator (24) by the same number (3):
[tex]\[ 24 \times 3 = 72 \][/tex]
- Thus, \(\frac{24}{5}\) is equivalent to \(\frac{72}{15}\).
3. Express the result:
- The final simplified fraction \(\frac{72}{15}\) maintains the same value as the original mixed fraction \(4 \frac{4}{5}\).
- Hence, in the form \(\frac{\square}{15}\), we have:
[tex]\[ 4 \frac{4}{5} = \frac{72}{15} \][/tex]
- The box filled in for this problem is \(\boxed{72}\).
In conclusion, the full equation with the converted fraction is:
[tex]\[ 4 \frac{4}{5} = \frac{72}{15} = 72 \][/tex]
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.