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.
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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.
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.
In this case the smallest number both 7 and 3 go into without a remainder is 21.
So multiply the first fraction by 3/3 and the second by 7/7.
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.