The two fractions that will give a sum between 0.75 and 1 are 3/7 + 5/9 and the larger fraction is 5/9
How to add fractions?
We want to find two fractions using the digits 3, 5, 7 and 9 to find the one that gives a sum between 0.75 and 1.
Since it has to be a sum between 0.75 and 1, it means that the denominator must be greater than the numerator. Thus, let us try as follows;
3/5 + 7/9
Factorize out 45 to get;
¹/₄₅((3 * 9) + (7 *5))
= ¹/₄₅(27 + 35)
= ¹/₄₅(52)
This will not work because it will lead to a sum greater than 1
Let us try another one;
3/7 + 5/9
Factorize out 63 to get;
¹/₆₃((3 * 9) + (5 *7))
= ¹/₆₃(27 + 35)
= 52/63
= 0.8254
Thus, the two fractions that will give a sum between 0.75 and 1 are 3/7 + 5/9 and the larger fraction is 5/9
Read more about Addition of Fractions at; https://brainly.com/question/11562149
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