Question

Can someone help me

Answer 1

Multiplying fractions is just multiplying the numerators together and the denominators together.


`\sf(4)/(7)*(1)/(4)\rightarrow(4* 1)/(7* 4)\rightarrow(4)/(28)\rightarrow(1)/(7)`


`\sf(4)/(7)*(1)/(6)\rightarrow(4* 1)/(7* 6)\rightarrow(4)/(42)\rightarrow(2)/(21)`

To find out which one is bigger, we need a common denominator. The LCM of 7 and 21 is 21, so convert the first fraction into a denominator of 21. 7 goes into 21 three times, multiply this to the numerator and denominator:


`\sf(1)/(7)\rightarrow(1* 3)/(7 * 3)\rightarrow(3)/(21)`

Now just compare the numerators to see which one is bigger.


`\sf(3)/(21)>(2)/(21)` therefore,
`\sf(4)/(7)*(1)/(4)>(4)/(7)*(1)/(6)`