An easy method for finding a fraction between two fractions would be to take the average of two fractions. You find the average by adding the two fractions together and then dividing the final sum by 2.
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Say the pair are 1/5 & 2/7
Add together and then divide by '2'
1/5 + 2/7
(7/35 + 10/35) / 2 I have do it all as one sum. The rule in maths is DO INSIDE the brackets first .
(17/35)/2 =
17/35 divide 2/1
=
17/35 X 1/2 =
17/70 This is the mid-point fraction between 1/5 & 2/7 .
Given any pair of fractions fractions, a/b and c/d where b and d are positive, the fraction (a+c)/(b+d) lies between them (though not exactly halfway).
Multiply Or Divide Both The Numerator And The Denominator By The Same Number.
make each fraction a improper fraction the flip the second fraction and multiply straight across then simplify
Finding a common denominator makes it possible to add two fractions because it allows us to write each fraction as a multiple of a common (usually smaller) fraction. Subtracting fractions works the same way; find a common denominator so that the fractions involved are in the same terms.
Find the GCF of the numerator and the denominator. Divide each of them by that number. If the GCF is 1, the fraction is already in its lowest terms.