Question

Max makes bread that calls for 7/8 cup of raisins per loaf. He has 5 1/4 cups of raisins. How many loaves of bread can he make?

The answer is 6 1/2 loaves. True or False?

Answer 1

Answer:

False.

Step-by-step explanation:

The answer is NOT 6 1/2 loaves it is 6 loaves.

Knowing that there Max has 5 1/4 cups of raisins and each loaf requires 7/8 cup of raisins, we would need to divide.

Let's turn the 5 1/4 into an improper fraction so when we divide the two fractions, it would be easier!

To turn 5 1/4 into an improper fraction we need to...

5 x 4 = 20

20 + 1

21/4

Now we divided 21/4 by 7/8.

When dividing fractions remember the rule: KEEP CHANGE FLIP!

We keep the first fraction...which is 21/4 in this case

Change the sign from division to multiplication

21/4 x 7/8

And flip 7/8 so it becomes 8/7

21/4 x 8/7

= 168/28

  = 6 loaves

So, the answer is not 6 1/2 loaves (false!)

Answer 2

Answer:

False

Step-by-step explanation:

Given :

$\frac{7}{8}$ Cup of Raisin per loaf

Have $5\frac{1}{4}$  Cup of Raisin  

Calculation steps:

$\frac{21}{4}$  ÷ $\frac{7}{8}$  

=

$\frac{21}{4}$   ×  $\frac{8}{7}$

=  

$\frac{21 x 8}{4 x 7}$

=  

$\frac{168}{28}$

=  

$\frac{168 / 28}{28/28}$

= $6$

Further explanation

For the problem:

21 /4 ÷7/ 8  = ?

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

21 /4÷7 /8 =21/ 4 ×8/ 7

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

$\frac{21x8}{4x7} =\frac{168}{28}$

The Greatest Common Factor (GCF) of 168 and 28 is 28. The result can be simplified by dividing both the numerator and denominator by 28.$\frac{168}{28}=\frac{168/28}{28/28} =6$

Therefore the result is: 6