# Solve Fraction Problems

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

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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.

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.

This is the third piece, so we divide it into one, two pieces, and this is the fourth piece, or the fourth section, and we divide it into two sections.

One, two, three, four, five, six, seven, eight, because we turned each of the four, we split them again into eight, so we have 8 as the denominator, and we took half of the 3/4, right? Let me make this very clear because this drawing can get confusing. 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.If 1 is subtracted from the numerator, the resulting fraction is 1/3. (2) If 3 is subtracted from the numerator of a fraction, the value of the resulting fraction is 1/2. When 14 is added to the numerator, the resulting fraction has a value equal to the reciprocal of the original fraction, Find the original fraction.If 13 is added to the denominator of the original fraction, the value of the new fraction is 1/3. 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. 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.

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