Tegan bought 1 1/6 metres of ribbon. She needs 2/5 meters to wrap her brothers present and 3/4 meters to wrap her sister's present. Did she buy enough ribbon?

Yes, Tegan buys enough ribbon.

Step-by-step explanation:

Given:

Length of ribbon bought by Tegan = = meters

Ribbon needed to wrap her brother's present = meters

Ribbon needed to wrap her sister's present = meters

Let the length of ribbon needed for wrapping be 'x' meters

So,

⇒

⇒ Taking LCD of and that is .

⇒

⇒

⇒ meters

Comparing   and .

LCD of and is .

Now equating the denominators.

⇒  and  ⇒

Now we can compare the above like fractions.

⇒   <

Shortcut:

We can directly compare the factions by cross multiplying.

⇒

⇒ ,

⇒ and

⇒ <

Then

⇒ <

She has enough ribbon to wrap the presents as ribbon bought by Tegan is greater in length than the ribbon used.

2 5/8 is the final answer! : )