14/15-13/16= show work
you need to find common denominators so multiply 15 and 16 together.
15*16=240
14/15 14*16= 224. 224/240
13/16 13*15= 195. 195/240
224/240 - 195/240 = 29/240
240
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To calculate the expression 14/15 - 13/16, we first need to find a common denominator for both fractions. In this case, the least common denominator (LCD) for 15 and 16 is 240.
We can then rewrite 14/15 as an equivalent fraction with the denominator of 240 by multiplying both the numerator and denominator by 16:
(14/15) * (16/16) = 224/240
Similarly, we can rewrite 13/16 as an equivalent fraction with the denominator of 240 by multiplying both the numerator and denominator by 15:
(13/16) * (15/15) = 195/240
Now that both fractions have the same denominator, we can subtract them directly:
224/240 - 195/240 = (224 - 195) / 240 = 29/240
Therefore, the result of the expression 14/15 - 13/16 is 29/240.