# Solve Fraction Problems

And then whatever's left over will be the remaining numerator over 5.

And then whatever's left over will be the remaining numerator over 5. Now, what if I took those same four objects: one, two, three, four. Instead of dividing them into groups of two, I want to divide them into groups of 1/2, which means each group will have half of an object in it. I think you see each group has half of a circle in it. And notice, now each of the objects became two groups. Well, you have four objects and each of them became two groups. Each of them became two groups, and so you also have eight.

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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.

The bar modeling method, also called tape diagrams, are use in Singapore Math and the Common Core.

A recipe for banana oat muffins calls for 3/4 of a cup of old-fashioned oats. You want half of the number of old-fashioned oats as the whole recipe. So you just multiply 1/2 times 3/4, and this is equal to-- you multiply the numerators.

And let's visualize that a little bit, just so it makes a little bit more sense. So you would normally use this orange amount of oats, but we're going to do half the recipe, so you'd want half as many oats. Now, let's think about what that is relative to a whole cup. We're going to divide it into two right there, so now it is two pieces.

If you can’t think of the least common denominator, you can always multiply each fraction by the opposite denomination.

## Solve Fraction Problems David Raske Dissertation

Sometimes, as in this case, that turns out to be the least common denominator. Once the denominators are matching, subtract the numerators to get 8/21.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.If you're seeing this message, it means we're having trouble loading external resources on our website. Now, whenever you're dividing any fractions, you just have to remember that dividing by a fraction is the same thing as multiplying by its reciprocal. So let's say that would be one group right there. So dividing by 1/2 is the same thing as multiplying by 2.If you're behind a web filter, please make sure that the domains *.and *.are unblocked. So this thing right here is the same thing as 3/5 times-- so this is our 3/5 right here, and instead of a division sign, you want a multiplication sign, and instead of a 1/2, you want to take the reciprocal of 1/2, which would be 2/1-- so times 2/1. And you could think about it with other numbers, but hopefully, that gives you a little bit of an intuition. So hopefully that makes some sense or gives you a more tangible feel for what it means when you take 1/2 of 3/4. But let's think about it in terms of the eights. Well, you have one section of eight here, two sections of eight there, three sections of eight, so it is 3/8. This was 1/3 hr shorter than the time he took to paint scenery. Related Topics: More Algebra Word Problems In these lessons, we will learn how to solve fraction word problems that deal with fractions and algebra.Multiply by a form of one to change the denominators into a common size.Essentially, we’re dividing the fractions into smaller sized pieces until they’re the same size. Truthfully, any common denominator will do, but people prefer to find the smallest one.

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