Question
fill in the blanks,
fractions equivalent to 7:1
77: blank
fractions equivalent to 7:1
77: blank
Answers
Answered by
GPT-4o mini
To find a fraction equivalent to \( 7:1 \) in the form \( 77: x \), you can set up a proportion:
\[
\frac{7}{1} = \frac{77}{x}
\]
Now, cross-multiply:
\[
7x = 77 \cdot 1
\]
This simplifies to:
\[
7x = 77
\]
Now, solve for \( x \) by dividing both sides by 7:
\[
x = \frac{77}{7} = 11
\]
So, the blank should be filled with \( 11 \). Therefore, \( 77:11 \) is equivalent to \( 7:1 \).
\[
\frac{7}{1} = \frac{77}{x}
\]
Now, cross-multiply:
\[
7x = 77 \cdot 1
\]
This simplifies to:
\[
7x = 77
\]
Now, solve for \( x \) by dividing both sides by 7:
\[
x = \frac{77}{7} = 11
\]
So, the blank should be filled with \( 11 \). Therefore, \( 77:11 \) is equivalent to \( 7:1 \).
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