I need to understand the last step of this problem. We do not understand how 4 - 1/4 =3 3/4

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03-11-2022
Mathematics

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I need to understand the last step of this problem. We do not understand how 4 - 1/4 =3 3/4

Sagot :

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MaricelaK30919idn MaricelaK30919idn · Answer 1 · 2022-11-03T00:23:37-04:00

Step 1: We add the available piece of fabrics she has, that is;

[tex]2\frac{1}{2}+4\frac{1}{4}[/tex]

We can convert the mixed fraction to an improper fraction as;

[tex]\frac{5}{2}+\frac{17}{4}[/tex]

Also;

[tex]\frac{5}{2}=\frac{10}{4}[/tex]

Then;

[tex]\begin{gathered} \frac{5}{2}+\frac{17}{4}=\frac{10}{4}+\frac{17}{4} \\ \frac{5}{2}+\frac{17}{4}=\frac{27}{4} \end{gathered}[/tex]

So, to get the remainder, we deduct from the number of yards needed to make the quilt.

[tex]10\frac{1}{2}-\frac{27}{4}[/tex]

Also, we change the mixed fraction to an improper fraction, we have;

[tex]\frac{21}{2}-\frac{27}{4}[/tex]

But;

[tex]\frac{21}{2}=\frac{42}{4}[/tex][tex]\begin{gathered} \frac{21}{2}-\frac{27}{4}=\frac{42}{4}-\frac{27}{4} \\ \frac{21}{2}-\frac{27}{4}=\frac{15}{4} \end{gathered}[/tex]

Then, we can put the improper fraction back to mixed fraction, we have;

[tex]\frac{15}{4}=3\frac{3}{4}[/tex]

CORRECT OPTION: C

Similarly,

[tex]\begin{gathered} 4-\frac{1}{4} \\ 3+1-\frac{1}{4} \\ 3+\frac{3}{4} \\ 3\frac{3}{4} \end{gathered}[/tex]

OR

[tex]\begin{gathered} \frac{4}{1}-\frac{1}{4} \\ \text{The lowest common multiple of the denominator is 4;} \\ \frac{4(4)-1(1)}{4}=\frac{16-1}{4}=\frac{15}{4} \\ =3\frac{3}{4} \end{gathered}[/tex]

Sagot :

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