How do these fractions turn into the following fractions.


There is a fundamental fact of math that says if you multiply anything by one , nothing changes.

but 1 = 3/3 = 10/10 etc. So if you have a fraction, and multiply it be the same numerator AND denominator, you havent erred.

1/3=1/3 * 10/10 = 10/30
1/5=1/5 * 6/6 = 6/30
1/10=1/10 * 3/3 = 3/30

Why don't i see it or understand it still.

how come 1/5 turns into 6/30 how is that possible

look, the 5 in 1/5 goes into 30 how many times? 6 of course. So if you multiply 5 times 6 to get 30 you need to multiply the toop number by the same number you multiplied with on the bottom which is 6. If you reduce 6/30 you see that 6 can go into itself and 30 so divide by 6 and you get 1/5. Hope you understand.

Thank you I appreciated your explanation now i understand where that crazy 6 came about .

You're welcome! I'm glad I could help clarify things for you. It's great to hear that you now understand how those fractions turned into the given fractions. Remember, when multiplying fractions, you multiply both the numerators and denominators. In this case, when you multiplied 1/5 by 6/6, you multiplied the numerator and denominator by 6. Then, by reducing the resulting fraction 6/30, you divided both the numerator and denominator by 6 to get the simplified fraction 1/5. Keep practicing and you'll become more comfortable with fractions. If you have any more questions, feel free to ask!