Find the best solutions to your problems with the help of IDNLearn.com's expert users. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.
Sagot :
Certainly! Let's break this down step-by-step.
First, convert the mixed fraction [tex]\(4 \frac{2}{3}\)[/tex] into an improper fraction. Here’s the detailed transformation:
[tex]\[ 4 \frac{2}{3} = \frac{4 \times 3 + 2}{3} = \frac{12 + 2}{3} = \frac{14}{3} \][/tex]
Next, we need to add [tex]\(\frac{14}{3}\)[/tex] to [tex]\(\frac{7}{9}\)[/tex]. For this, we need a common denominator. The least common multiple (LCM) of 3 and 9 is 9. Thus, we convert [tex]\(\frac{14}{3}\)[/tex] to a fraction with the denominator 9:
[tex]\[ \frac{14}{3} = \frac{14 \times 3}{3 \times 3} = \frac{42}{9} \][/tex]
Now, add the fractions [tex]\(\frac{42}{9}\)[/tex] and [tex]\(\frac{7}{9}\)[/tex]:
[tex]\[ \frac{42}{9} + \frac{7}{9} = \frac{42 + 7}{9} = \frac{49}{9} \][/tex]
So, the solution to the problem is:
[tex]\[ \boxed{\frac{49}{9}} \][/tex]
First, convert the mixed fraction [tex]\(4 \frac{2}{3}\)[/tex] into an improper fraction. Here’s the detailed transformation:
[tex]\[ 4 \frac{2}{3} = \frac{4 \times 3 + 2}{3} = \frac{12 + 2}{3} = \frac{14}{3} \][/tex]
Next, we need to add [tex]\(\frac{14}{3}\)[/tex] to [tex]\(\frac{7}{9}\)[/tex]. For this, we need a common denominator. The least common multiple (LCM) of 3 and 9 is 9. Thus, we convert [tex]\(\frac{14}{3}\)[/tex] to a fraction with the denominator 9:
[tex]\[ \frac{14}{3} = \frac{14 \times 3}{3 \times 3} = \frac{42}{9} \][/tex]
Now, add the fractions [tex]\(\frac{42}{9}\)[/tex] and [tex]\(\frac{7}{9}\)[/tex]:
[tex]\[ \frac{42}{9} + \frac{7}{9} = \frac{42 + 7}{9} = \frac{49}{9} \][/tex]
So, the solution to the problem is:
[tex]\[ \boxed{\frac{49}{9}} \][/tex]
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.