Solve: Multiplying 2 Times the Fraction 5/7

2×57= 2\times\frac{5}{7}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Move the multiplication to the numerator
00:06 Calculate the multiplication
00:10 Now convert to a mixed fraction
00:14 Break down 10 into 7 plus 3
00:21 Split the fraction into a whole number and remainder
00:26 Convert from improper fraction to whole number, and combine with mixed fraction
00:34 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

2×57= 2\times\frac{5}{7}=

2

Step-by-step solution

To solve this problem, we'll multiply the whole number 2 by the fraction 57\frac{5}{7}:

  • Step 1: Multiply the numerator 5 by the whole number 2:

2×5=10 2 \times 5 = 10

  • Step 2: Write the result over the original denominator 7:

107 \frac{10}{7}

  • Step 3: Convert 107\frac{10}{7} to a mixed number:

Since 10 divided by 7 is 1 with a remainder of 3, we can express this as:

137 1\frac{3}{7}

Therefore, the solution to the problem is 137\textbf{1}\frac{\textbf{3}}{\textbf{7}}.

3

Final Answer

137 1\frac{3}{7}

Practice Quiz

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\( 5:\frac{2}{5}= \)

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