Respuesta :
Given that,
6/7 and 24/28
To find,
The above number are in proportion or not.
Solution,
First number is 6/7
Other number is 24/28
Multiply numerator and denominator by 4 to the first number.
[tex]\dfrac{6}{7}=\dfrac{6}{7}\times \dfrac{4}{4}\\\\=\dfrac{6\times 4}{7\times 4}\\\\=\dfrac{24}{28}[/tex]
So, 6/7 and 24/28 are in proportion.
Fraction A is proportional to fraction B because the value of fraction A is equal to fraction B.
Given the following data:
- Fraction A = [tex]\frac{6}{7}[/tex]
- Fraction B = [tex]\frac{24}{28}[/tex]
In this exercise, you're required to determine whether or not the two fractions are proportionate i.e whether fraction A is proportional to fraction B.
Two fractions are considered to be proportionate when the value of fraction A is equal to fraction B.
We would write fraction B in its simplest form by dividing both the numerator and denominator by their highest common factor (HCF).
HCF of 24 and 28 = 4.
Dividing by 4, we have:
[tex]Fraction\;B =\frac{24}{28}=\frac{6}{7}[/tex]
In conclusion, fraction A is proportional to fraction B because the value of fraction A is equal to fraction B.
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