Doug C. answered • 10/04/24
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One way to fill in the blank is to convert the 2/3 to a fraction with a denominator of 15.
2/3 (5/5) = 10/15
Now how many 15ths do you have to add to 10/15 to come up with 16/15? 16/15 - 10/15 = 6/15.
Likely you want to reduce that fraction to lowest terms by dividing numerator and denominator by 3.
Final answer: 2/5.
If you have learned to solve linear equations in one variable containing fractions by clearing the equation of
fractions your work could also look like this:
2/3 + x = 16/15
Multiply every term by 15 to clear the fractions:
10 + 15x = 16
15x = 6
x = 6/15 = 2/5
