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If you're seeing this message, it means we're having trouble loading external resources on our website. Let me draw what 3/4 looks like, or essentially how much oats you would need in a normal situation, or if you're doing the whole recipe. Let's say this represents a whole cup, and if we put it into fourths-- let me divide it a little bit better. Because you're going to make half of the recipe. Well, one way we can do it is to turn each of these four buckets, or these four pieces, or these four sections of a cup into eight sections of a cup. So we're essentially turning each piece, each fourth, into two pieces. If you're behind a web filter, please make sure that the domains *.and *.are unblocked. So if the whole recipe requires 3/4 of a cup and you're making half of the recipe, you want half of 3/4, right? So if we put it into fourths, 3/4 would represent three of these, so it would represent one, two, three. 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.
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.
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.
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. 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.If you're seeing this message, it means we're having trouble loading external resources on our website.If you're behind a web filter, please make sure that the domains *.and *.are unblocked. 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.If you can’t think of the least common denominator, you can always multiply each fraction by the opposite denomination.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.