Solving Multi-Step Equations with Fractions

If you have to solve a multi-step equation, you might as well do it with fractions, right?

AlgebraUnderstand solving equations as a process of reasoning
Understand solving equations as a process of reasoning and explain the reasoning
Basic AlgebraBasic Equations
Fractions and DecimalsFractions
LanguageEnglish Language

Transcript

00:33

If Parker only has two-thirds of an iceberg, how much ice will Penny need to bring to pick

00:40

up the slack? They can only transport the ice to the party in thirds.

00:45

Here are your options.

00:50

First, we need to formulate an equation to thaw out this problem.

00:57

Parker has two-thirds of an iceberg. That's the easy part. We need to know how many thirds

01:02

Pembroke needs to bring in order to equal five.

01:06

Our equation should be: two-thirds plus i-over-three equals five, and we're trying to solve for

01:12

i, which is the amount of ice. Now we need to simplify things.

01:17

We'll do this by multiplying everything by three to get rid of the fractions. 2/3 times

01:23

3 is 2. i over 3 times 3 is i. Five times three is

01:30

fifteen. So our equation is now: two plus i equals

01:34

fifteen. All we have to do now is subtract two from

01:38

both sides.

01:46

Fifteen minus two equals thirteen. So Penny will need to bring 13 pieces of ice.

01:53

So i = 13. The answer is D.

01:59

That's a lot of ice. Penny’s got it covered though. Don't be

02:04

fooled by the rocks that she’s got.

02:06

Her love don't cost a thing.