Multiply Fraction 3/10 by a Factor of 5: Step-by-Step Solution

Increase the following fraction by a factor of 5:

310= \frac{3}{10}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Expand the fraction by 5
00:04 Multiply the fraction by the given factor
00:07 Make sure to multiply both numerator and denominator
00:11 Calculate the multiplications
00:14 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Increase the following fraction by a factor of 5:

310= \frac{3}{10}=

2

Step-by-step solution

To solve the problem of increasing the fraction 310 \frac{3}{10} by a factor of 5, follow these steps:

  • Step 1: Multiply the numerator by 5.
    The original numerator is 3, so 3×5=15 3 \times 5 = 15 .
  • Step 2: Multiply the denominator by 5.
    The original denominator is 10, so 10×5=50 10 \times 5 = 50 .
  • Step 3: Write the new fraction.
    The resulting fraction after applying the factor is 1550 \frac{15}{50} .

Thus, when we increase the fraction 310 \frac{3}{10} by a factor of 5, we get 1550 \frac{15}{50} .

Therefore, the correct answer is 1550 \frac{15}{50} .

3

Final Answer

1550 \frac{15}{50}

Practice Quiz

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Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

\( 5:6= \)

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