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2 years ago

The total length of two ribbons is 13 meters. If one ribbion is 7 5/8 meters long what is the length of the other ribbon

Mathematics

2 answers:

Naddik [55]2 years ago

8 0

The length of the other ribbon is $5\frac{3}{8}$ meters.

<h3>Further Explanation</h3>

Let's say that:

First ribbon = x

Second ribbon = y

<u>Given:</u>

From the above we get the information:

x = $7\frac{5}{8}$ meters

x + y = 13 meters

<u>Question:</u>

What is the length of the other ribbon?

First step we need to change the mixed fraction into improper fraction as follow:

$x = 7\frac{5}{8} = \frac{61}{8}$

$x + y = 13$ so $y = 13-x$

$\boxed {y= 13 - \frac{61}{8} }\\\boxed {y = \frac{104-61}{8} = \frac{43}{8} = 5\frac{3}{8} }$

so the length of the other ribbon is $5\frac{3}{8}$

For subtraction or additional fraction, when the denominators is different, we need to find the common denominator for both number.

<h3>Learn more</h3>

Part to whole relationship brainly.com/question/11677654

Subtraction fraction brainly.com/question/2954545

Mixed fraction brainly.com/question/745462

<h3 />

Keywords: additional fraction, subtraction fraction, mixed fraction, improper fraction

Liono4ka [1.6K]2 years ago

5 0

Perhaps the easiest way to solve this problem is to convert 13 into a fraction that has the same denominator as 7 5/8.
Convert both to improper fractions:
7 5/8 turns into 61/8, and
13 turns into 104/8.

Then, subtract 61/8 from 104/8:
104/8-61/8=43/8.
Simplify (mixed fraction):
5 3/8.

The second ribbon has a length of 5 3/8 meters.

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