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While taking inventory at her pastry shop, Nellie realises that she had 4 3/4 boxes of baking powder yesterday, but the supply is now down to 7/12 of a box. How much more baking powder did Nellie have yesterday?Write your answer as a fraction or as a whole or mixed number.

Question

While taking inventory at her pastry shop, Nellie realises that she had 4 3/4 boxes of baking powder yesterday, but the supply is now down to 7/12 of a box. How much more baking powder did Nellie have yesterday?Write your answer as a fraction or as a whole or mixed number.

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Solution

First, we need to convert the mixed number 4 3/4 to an improper fraction.

To do this, we multiply the whole number (4) by the denominator of the fraction (4) and then add the numerator (3). This gives us 4*4 + 3 = 19. So, 4 3/4 is the same as 19/4.

Next, we need to subtract the amount of baking powder Nellie has now (7/12) from the amount she had yesterday (19/4).

However, before we can subtract these fractions, we need to make sure they have the same denominator.

The least common multiple of 4 and 12 is 12, so we convert 19/4 to a fraction with 12 as the denominator.

To do this, we multiply both the numerator and the denominator of 19/4 by 3, which gives us 57/12.

Now we can subtract 7/12 from 57/12, which gives us 50/12.

To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 2.

So, 50/12 simplifies to 25/6.

Therefore, Nellie had 25/6 more boxes of baking powder yesterday.

If we want to express this as a mixed number, we divide the numerator by the denominator. 25 divided by 6 is 4 with a remainder of 1, so 25/6 is the same as 4 1/6.

So, Nellie had 4 1/6 more boxes of baking powder yesterday.

This problem has been solved

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