fraction

2 fractions have denominators 3 and 4. Their sum = 17/12. If the numerators are switched the sum = 3/2. Determine the 2 fractions. Given: x/3 + y/4 = 17/12 Common Denominator = 12: 4x/12 + 3y/12 = 17/12 4x + 3y = 17 Switch numerators: y/3 + x/4 = 3/2 Common Denominator = 12: 4y/12 + 3x/12 =...

Do this without a calculator. Notice, all numerators have a matching denominator except 2 in the first term and 14 in the last term. So we have 2/14 Using 2 as a common factor, we have: 2/2 / 14/2 1/7

Pete ate 1/2 a pizza, Carol ate 1/3, and Joe ate 1/4. How much pizza was eaten? Total pizza eaten is: 1/2 + 1/3 + 1/4 We need a common denominator. List out factors: 2: 1, 2, 4, 6, 8, 10, 12 3: 1, 3, 6, 9, 12 4: 1, 4, 8, 12 12 is our least common multiple: 1/2 = 6/12 1/3 = 4/12 1/4 = 3/12 So...

2 / 2/3 Using inverse rule of multiplication, we get: 2/1 * 3/2 = 3

Which of the following shows the numbers in ascending order? 2/3,0.68,67%,4/5 A. 67%, 0.68, 2/3, 4/5 B. 67%, 0.68, 4/5, 2/3 C. 0.68, 67%, 2/3, 4/5 D. 2/3, 67%, 0.68, 4/5 Convert all of these to decimals: 2/3 = 0.666666 0.68 = 0.68 67% = 0.67 4/5= 0.8 Order these ascending, and you get...

The formula is: Numerator = One color Denominator - Numerator = Another Color

Mr. Vukovic is making pasta. He makes 3 ½ cups of pasta. How many ¾ cup servings can Mr. Vukovic serve 3 & 1/2 = 7/2 7/2 /3/4 = 14/3 = 4 & 2/3

Write a fraction with a denominator of 9. The fraction should be less than 1/2 Let n be the numerator. We have: n/9 < 1/2 multiply each side by 9: 9n/9 < 9/2 n < 9/2 Examples are 8/2, 7/2, 6/2, 5/2, 4/2, 3/2,

A number of dogs are to equally share a bag of dog food. If there are n dogs in the group and one dog eats its share, what percent of the bag is left? Fraction of the bag left is: (n - 1)/n Multiply by 100 to get a percentage: 100(n - 1)/n

When five people are playing a game called hearts, each person is dealt ten cards and the two remaining cards are put face down on a table. Because of the rules of the game, it is very important to know the probability of either of the two cards being a heart. What is the probability that at...

Martha can read a 300 page book in 10 hours. How many pages will she read in n minutes? 60 minutes in an hour, so Martha reads 300 pages in 10 * 60 = 600 minutes 300 pages in 600 minutes is 1/2 page per minute For n minutes, she reads n/2 pages

Anna painted 1/6 of a wall, Eric painted 1/5 of the wall, and Meadow painted 1/4 of the wall. There are now 3910 square feet left to paint. How many square feet did Anna paint? Using 60 as a common denominator through least common multiple, we get: 1/6 = 10/60 1/5 = 12/60 1/4 = 15/60 10/60 +...

22 & 1/2 / 1/8 = 22 & 1/2 = 45/2 45/2 / 1/8 = 180

18 - 6 & 1/9 = Using our fraction calculator, we get: 107/9 or 11 & 8/9

6 & 1/8 x 1/7 Using our fraction calculator, we get: 7/8

In base 10, the number .1111... approaches 1/9. What does .111111 base 2 approach in base 10? Base 2 .11111 means: (1/2)^1 + (1/2)^2 + + (1/2)^3 + (1/2)^4 1/2 + 1/4 + 1/8 + 1/16 This approaches 1

A Septonian said he had eaten .5 of his cookie while an American said he had eaten .5 of his cookie. Who ate more? Why? The Septon ate 5 groups of 1/7 or 5/7 The American ate 5 groups of 1/10 or 5/10 which is 1/2 5/7 is larger, so the Septoian ate more.

Solve 100 / 1/2 Dividing by a fraction is the same as multiplying by the reciprocal of the fraction: Reciprocal of 1/2 = 2 100 * 2 = 200

1, 1/2, 1/3, 1/4, 1/5 What is the next number? What is the 89th term of the sequence? Formula for nth term is 1/n Next number is n = 5, so we have 1/5 With n = 89, we have 1/89

5 kids are sharing 3 cupcakes. How much will they each get 3 cupcakes / 5 kids = 3/5 cupcake per kid or 0.6 cupcake per kid