High School

Convert the following into decimal fractions and add them: six and a half metres and three and three quarter metres.

Answer :

To convert the given measurements into decimal fractions and add them, let's break it down step by step:

  1. Convert 'six and a half metres' into a decimal fraction:

    • 'Six and a half' means 6 + [tex]\frac{1}{2}[/tex].
    • [tex]\frac{1}{2}[/tex] as a decimal is 0.5.
    • Therefore, six and a half metres is expressed as 6.5 metres.

  2. Convert 'three and three quarter metres' into a decimal fraction:

    • 'Three and three quarters' means 3 + [tex]\frac{3}{4}[/tex].
    • [tex]\frac{3}{4}[/tex] as a decimal is 0.75.
    • Therefore, three and three quarter metres is expressed as 3.75 metres.

  3. Add the decimal fractions together:

    • Add 6.5 metres and 3.75 metres.

    [tex]6.5 + 3.75 = 10.25[/tex]

So, the total when you add six and a half metres and three and three quarter metres is 10.25 metres.

This process involved converting mixed numbers into decimal form and then performing a simple addition to find the sum.

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