Answer:
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Step-by-step explanation:
The factors of a number are <em>all of the positive whole numbers that go into it evenly</em>. For example, 2 is a factor of 6 because 6 ÷ 2 = 3, or equivalently, 6 = 2 x 3. Note that this naturally implies that every whole number has 1 and itself as a factor.
The numbers that go evenly into 24 are 1, 2, 3, 4, 6, 8, 12, and 24. For 27, those numbers are 1, 3, 9, and 27.
The <em>common factors </em>between two numbers are numbers that go into <em>both </em>numbers evenly. Looking through the lists for 24 and 27, we see that 1 and 3 are their common factors. The <em>greatest</em> common factor is, of course, the largest of these, so the greatest common factor of 24 and 27 is 3.
She wants 25she divides each by 12 to get for 1 person then multiplies by 25 to get for 25 peoplemulitply each ingredient by 25/12
for multiplying fractions, try to put them in standard a/b form first
flour1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 cup flour
baking powder1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 tsp baking powder
salt1/2 times 25/12=25/24=24/24+1/24=1+1/24=1 and 1/24 tsp salt
butter1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 stick of butter
sugar
1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 cup of sugar
eggs3 times 25/12=3/1 times 25/12=75/12=25/4=24/4+1/4=6+1/4=6 and 1/4 eggs
vanilla extract
1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 tsp vainlla extract
milk3/4 times 25/12=75/48=25/16=16/16+9/16=1+9/16=1 and 9/16 cup milk
for 25 servings
she needs
3 and 1/8 cup flour
2 and 1/12 tsp baking powder1 and 1/24 tsp salt2 and 1/12 stick of butter2 and 1/12 cup of sugar
6 and 1/4 eggs3 and 1/8 tsp vanilla extract1 and 9/16 cup milk
