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faye had a piece of ribbon. After using 3/8 meter for her headband she had 1/4 meter left how many meters of ribbon did she have at first​

Sagot :

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Addition of Dissimilar Fractions

In adding dissimilar fractions, express the fractions as similar. Use the least common denominator of both denominators. Divide the LCM by the given denominators and multiply the quotient by the given numerators. The resulting fractions should be similar. Proceed with the addition and simplify the answer if possible.

Answer:

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

Solutions:

Asked: The length of the ribbon.

Given: [tex]\frac{3}{8}[/tex] meter - ribbon used for the headband

           [tex]\frac{1}{4}[/tex] meter - ribbon that was left

Operation: addition

Number Sentence: [tex]\frac{3}{8}[/tex] + [tex]\frac{1}{4}[/tex] = N

Solution: [tex]\frac{3}{8}[/tex] + [tex]\frac{1}{4}[/tex] = N

Change the fractions to similar. Using the LCM of the denominators.

8 - 8, 16, 24

4 - 4, 8, 12    

LCM: 8

[tex]\frac{3}{8}[/tex] - [tex]\frac{3}{8}[/tex]

[tex]\frac{1}{4}[/tex] - [tex]\frac{2}{8}[/tex]

Proceed with the addition.

[tex]\frac{3}{8}[/tex] + [tex]\frac{2}{8}[/tex] = [tex]\frac{5}{8}[/tex]

Since the numerator is already a prime number there is no other way it can be simplified.

Answer: Therefore, the answer is [tex]\frac{5}{8}[/tex]

How to add dissimilar fractions: https://brainly.ph/question/449162

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