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son4ous [18]
1 year ago
11

I need this simplified in to a proper fraction, how do I do that

Mathematics
1 answer:
nexus9112 [7]1 year ago
3 0
10\frac{3}{4}-4\frac{7}{8}

To simplify, write each mixed number as a proper fraction.

To write a mixed number as a proper fraction add the whole part and the fraction part.

Addition and substraction of fractions:

\frac{a}{b}\pm\frac{c}{d}=\frac{ad\pm bc}{bd}

Write 10 3/4 as a porper fraction:

10+\frac{3}{4}=\frac{40+3}{4}=\frac{43}{4}

Write 4 7/8 as a proper fraction:

4+\frac{7}{8}=\frac{32+7}{8}=\frac{39}{8}

Then, you have the next substraction of fractions:

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We know there is a total of 100 cups of tea sold and that there are two types of teas involved.

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We can set up two equations and use substitution to solve:

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One of the teas sold 5 times as much as the other. Let's believe that this was tea 1:

x = 5y (5 times as much means multiplication, and 'other' means y)

If x = 5y, then this must be true for the first equation. So we'll test this by plugging it in:

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Now we can use this number to solve for x in the original equation:

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Step-by-step explanation:

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