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Here are some examples and solutions of fraction word problems. The second example shows how blocks can be used to help illustrate the problem. More examples and solutions using the bar modeling method to solve fraction word problems are shown in the videos. Bar Modeling with Fractions Examples: 1) Grace thought that a plane journey would take 7/10 hr but the actual journey took 1/5 hr longer.
Now, the one thing that's not obvious is why did this work? So I have four objects, and if I were to divide into groups of two, so I want to divide it into groups of two.
When adding and subtracting fractions the denominators must be the same. If we wish to combine or take away parts we must be talking about the same sized parts, otherwise it would get confusing.
Well, 4 divided by 2, I have two groups of two, so that is equal to 2. You have eight groups of 1/2, so this is equal to 8.
Why is dividing by 1/2 the same thing as multiplying essentially by 2. And to do that, I'll do a little side-- fairly simple-- example, but hopefully, it gets the point across. So that is one group of two and then that is another group of two, how many groups do I have? That's the seventh, and then that's the eighth.
If so, you are just like almost every other math student out there! I am going to make your life so much easier when it comes to solving equations with fractions! We are going to get rid of just the denominator in the fraction, so we will be left with the numerator, or just an integer! It's really not hard, but before I get into it, I want to go over one algebra definition. In Algebra, each term within an equation is separated by a plus ( ) sign, minus (-) sign or an equals sign (=).
Our first step when solving these equations is to get rid of the fractions because they are not easy to work with! Now we have two fractions to contend with and that means subtracting fractions and multiplying fractions. let's stop here and say, We DO NOT want to do this! We are going to learn how to get rid of the fractions and make this much more simple! Variable or quantities that are multiplied or divided are considered the same term.
Remember to read the question carefully to determine the Let the numerator be x, then the denominator is x 3, and the fraction is \(\frac\) When the numerator and denominator are increased by 4, the fraction is \(\frac\) \(\frac - \frac = \frac\) 77(x 4)(x 3) – 77x(x 7) = 12(x 7)(x 3) 77x How to solve Fraction Word Problems using Algebra?
Examples: (1) The denominator of a fraction is 5 more than the numerator.
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