0.75
Further explanation
Given:
⁶/₈ is equivalent to ³/₄.
Question:
How can you use this to help you write ⁶/₈ as a decimal?
The Process:
[tex]\frac{6}{8}[/tex] is equivalent to [tex]\frac{3}{4}[/tex], because both the numerator and denominator are divided by two, that is,
[tex]\boxed{ \ \frac{6 \div 2}{8 \div 2} = \frac{3}{4} \ }[/tex]
In the next step, we can use [tex]\frac{3}{4}[/tex] to help us write [tex]\frac{6}{8}[/tex] as a decimal. Both the numerator and denominator are multiplied by 25.
[tex]\boxed{ \ = \frac{3}{4} \times \frac{25}{25} \ }[/tex]
[tex]\boxed{ \ = \frac{75}{100} \ }[/tex]
[tex]\boxed{\boxed{ \ 0.75 \ }}[/tex]
If [tex]\frac{6}{8}[/tex] is equivalent to [tex]\frac{3}{4}[/tex] while [tex]\frac{3}{4}[/tex] is equal to 0.75, then [tex]\boxed{\boxed{ \ \frac{6}{8} = 0.75 \ }}[/tex].
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Quick Steps:
[tex]\boxed{ \ \frac{6}{8} \rightarrow \frac{6 \div 2}{8 \div 2} = \frac{3}{4} \ } \rightarrow \boxed{ \ \frac{3}{4} \times \frac{25}{25} = \boxed{\frac{75}{100} = 0.75} \ }[/tex]
[tex]\boxed{ \ \frac{6}{8} = 0.75 \ }[/tex]
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Keywords: 6/8 is equivalent to 3/4, how can you use this, to help you, write, a decimal, is equal to, both the numerator and denominator, divided by two, multiplied by 25
