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Model Method - Questions and Answers

Question posted by Clara from the United States:

Grade/Level: Grade 6

Question solved by Model Method : 3/4-3/14=?

Answer:
Step 1: Draw 3 boxes to represent 3/4.

$model-method-questions-and-answers-231$

Step 2: Since 3/4 and 3/14 are Unlike Fractions, we need to first find the common multiple of their denominators and change them into Like Fractions before we can subtract them. The common multiple of 4 and 14 is 28.

Since 1 whole now is equivalent to 28 units,

then 3/4 must be equivalent to 3/4 x 28 = 21 units.

Thus, sub-divide each box into 7 small units.

$model-method-questions-and-answers-232$

Step 3: Since 3/14 (which is equal to 6/28) was subtracted from 3/4, we mark out 6 small units to show that 6/28 was subtracted from 21/28 (equivalent fraction of 3/4).

$model-method-questions-and-answers-233$

Therefore,

3/4 - 3/14

= 21/28 - 6/28

= 15/28

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