Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Add:
[tex]
-\frac{4}{7}+\frac{3}{4}
[/tex]

Write your answer in simplest form.

Sagot :

GinnyAnswer
Certainly! Let's add the fractions \(-\frac{4}{7}\) and \(\frac{3}{4}\) step by step.

Firstly, we need to find a common denominator for the fractions. The denominators here are 7 and 4. The least common multiple (LCM) of 7 and 4 is 28.

Next, we need to adjust both fractions so that they have this common denominator.

1. For \(-\frac{4}{7}\):
[tex]\[ -\frac{4}{7} = -\frac{4 \cdot 4}{7 \cdot 4} = -\frac{16}{28} \][/tex]

2. For \(\frac{3}{4}\):
[tex]\[ \frac{3}{4} = \frac{3 \cdot 7}{4 \cdot 7} = \frac{21}{28} \][/tex]

Now we can add these two fractions that have the same denominator:

[tex]\[ -\frac{16}{28} + \frac{21}{28} = \frac{-16 + 21}{28} = \frac{5}{28} \][/tex]

Thus, the sum of \(-\frac{4}{7}\) and \(\frac{3}{4}\) is:
[tex]\[ \frac{5}{28} \][/tex]

The answer in its simplest form is [tex]\(\frac{5}{28}\)[/tex].
schurr

Greetings!

Solve the question by simplifying the given expression:

[tex]-\frac{4}{7} +\frac{3}{4}[/tex]

Find the common denominator, which is 28 in this case. Therefore, multiply 7 by 4 in the first fraction to get 28 in the denominator and 4 by 7 in the second fraction to get 28 in the denominator. Remember, whatever action you do to the bottom, you must do the same for the top:

[tex]-\frac{4*4}{7*4} =-\frac{16}{28}[/tex]

[tex]-\frac{3*7}{4*7} =\frac{21}{28}[/tex]

[tex]-\frac{16}{28}+\frac{21}{28}[/tex]

Add the fractions:

[tex]-\frac{16}{28}+\frac{21}{28}=\frac{5}{28}[/tex]

Answer:

[tex]\boxed{\frac{5}{28}}[/tex]

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.