Solve the Fraction Equation: Finding the Numerator in ?/15a = 5b/15a

Complete the corresponding expression in the numerator

?15a=5b15a \frac{?}{15a}=\frac{5b}{15a}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Complete the appropriate counter
00:07 We want to isolate the numerator, so we'll multiply by the denominator
00:20 We'll reduce what we can
00:25 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Complete the corresponding expression in the numerator

?15a=5b15a \frac{?}{15a}=\frac{5b}{15a}

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Step 1: Note that we are given two fractions ?15a\frac{?}{15a} and 5b15a\frac{5b}{15a}.
  • Step 2: Observe that both fractions have the same denominator 15a15a.
  • Step 3: For these fractions to be equal, their numerators must also be equal. Thus, ?=5b? = 5b.

Now, let's apply these steps:

By equating the numerators of ?15a=5b15a\frac{?}{15a} = \frac{5b}{15a}, we directly find that the missing expression in the numerator, denoted as ??, must be 5b5b.

Therefore, the correct answer is 5b 5b .

3

Final Answer

5b 5b

Practice Quiz

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Determine if the simplification shown below is correct:

\( \frac{7}{7\cdot8}=8 \)

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