Answer:
The difference of 4/5-2/3 is 2/15
Step-by-step explanation:
- WHEN SUBTRACTING FRACTION WE NEED TO MAKE SURE THAT THEIR DENOMINATOR HAS THE SAME VALUE.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{4}{5} - \frac{2}{3} [/tex]
- THE LEAST COMMON DENOMINATOR IS 15.
- SO, MULTIPLY IT WITH THEIR COMMON MULTIPLE TO GET THE SAME DENOMINATOR.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{4(3)}{5(3)} - \frac{2(5)}{3(5)} [/tex]
- YOU CAN SUBTRACT THEM NOW.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{12}{15} - \frac{10}{15} [/tex]
- SIMPLIFY THE FRACTION IF IT IS NEEDED TO.
- THIS IS THE FINAL ANSWER.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{\boxed{\frac{2}{15} }}[/tex]
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