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Answered

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how to add and subtract fraction with different denominators

example: ( 3/8 + 3/12) - 2/12 =
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Sagot :

Ray1on1Mathidn

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8} +\frac{3}{12} -\frac{2}{12}[/tex]

since this is all addition and subtraction, we can do the later fractions first that share a denominator. 3-2=1

[tex]\frac{3}{8} +\frac{1}{12}[/tex]

either you can multiply both bottoms together and the tops by the same like below:

[tex]\frac{3*12}{96} +\frac{8*1}{96}[/tex]

or you can find the smallest common multiple by checking the factors and adding what's missing:

8: 4*2       12: 4*3

so just need to multiply the denominators to 4*2*3 =24 and do the same to their tops

[tex]\frac{3*3}{24} +\frac{3*2}{24}[/tex] = [tex]\frac{9}{24} + \frac{6}{24}[/tex]

then just add

[tex]\frac{9}{24} + \frac{6}{24}[/tex] = [tex]\frac{15}{24}[/tex]

then you may need to simplify. identify any factors that are shared between top and bottom numbers = 3

[tex]\frac{15/3}{24/3} = \frac{5}{8}[/tex]

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