tina says that 6:8 is equivalent to 36:64 . what did tina do wrong!


Sagot :

She simplified it wrong because you're only supposed to simplify it with the same numbers. For example: simplify 2/4. You divide it by 2/2. You do the same and it will be correct.

Answer:

Explanation shown below

Step-by-step explanation:

For 6:8 to be equal to another fraction, Tina needed to MULTIPLY both top and bottom by the same number, NOT RAISE TO A POWER.

Multiplying by any number (both numerator & denominator) would make the other ratio equivalent.

Taking "Square" or "raising to same power" WILL NOT make the new ratio equivalent.

Tina "raised 6 to 2nd power to get 36" and "raised 8 to 2nd power to get 64". According to the rules, the new ratio won't be equal.

Instead of raising to 2nd power, she could multiply by 2 (both numerator and denominator) to get 12:16. This ratio would have been equal to 6:8.