Adding Fractions

Mathematical Equivalence

ON

Answer explanation

To find the least common denominator of 3/4 and 2/5, we need to find the smallest number that both 4 and 5 can divide into evenly. The least common multiple of 4 and 5 is 20. Therefore, the least common denominator of 3/4 and 2/5 is 20. This means that if we convert both fractions to have a denominator of 20, we can compare them more easily. So, the correct answer is 20.

Tags

CCSS.4.NF.A.2

Convert 1/3 to a fraction with a denominator of 9.

Mathematical Equivalence

ON

Answer explanation

To convert 1/3 to an equivalent fraction with a denominator of 9, we need to multiply both the numerator and denominator by the same number. In this case, we multiply both 1 and 3 by 3 to get 3/9. Therefore, the equivalent fraction of 1/3 with a denominator of 9 is 3/9.

Tags

CCSS.4.NF.A.1

CCSS.4.NF.A.2

Add 1/2 and 3/4.

Mathematical Equivalence

ON

Answer explanation

To add 1/2 and 3/4, we need to find a common denominator, which is 4. Then, we add the numerators: 1 + 3 = 4. The sum is 4/4, which simplifies to 1. Therefore, the correct answer is 1/1 or simply 1. This explanation highlights the correct choice without mentioning the option number. The given question asks to add 1/2 and 3/4, not query. The explanation is within the word limit of 75 words.

Tags

CCSS.3.NF.A.1

Simplify the fraction 4/8 after adding 1/4 and 1/8.

Mathematical Equivalence

ON

Answer explanation

To simplify the fraction 4/8 after adding 1/4 and 1/8, we need to find a common denominator. The least common multiple of 8 and 4 is 8. So, we can rewrite 1/4 as 2/8 and 1/8 as 1/8. Now, we can add the fractions: 4/8 + 2/8 + 1/8 = 7/8. Therefore, the simplified fraction is 7/8.

Tags

CCSS.4.NF.A.1

CCSS.4.NF.B.3

Find the least common denominator of 2/3 and 5/6.

Mathematical Equivalence

ON

Answer explanation

To find the least common denominator of 2/3 and 5/6, we need to find the smallest number that both 3 and 6 can divide evenly into. The least common multiple of 3 and 6 is 6. Therefore, the least common denominator of 2/3 and 5/6 is 6. This means that we can rewrite 2/3 as 4/6 and 5/6 as 5/6. So, the least common denominator is 6.

Tags

CCSS.4.NF.A.2

Convert 2/5 to a fraction with a denominator of 10.

Mathematical Equivalence

ON

Answer explanation

To convert 2/5 to an equivalent fraction with a denominator of 10, we need to multiply both the numerator and denominator by 2. This gives us 4/10. Therefore, the correct choice is

4/10

. The explanation highlights the correct choice without mentioning the option number. The question asks to convert 2/5 to an equivalent fraction with a denominator of 10.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.3

Add 3/7 and 2/7.

Mathematical Equivalence

ON

Answer explanation

To add fractions, we need a common denominator. In this case, the denominators are already the same, so we can simply add the numerators. The sum of 3/7 and 2/7 is 5/7. Therefore, the correct choice is 5/7.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2

Simplify the fraction 9/12 after adding 1/6 and 1/4.

Mathematical Equivalence

ON

Answer explanation

To simplify the fraction 9/12 after adding 1/6 and 1/4, we need to find a common denominator. The least common multiple of 12, 6, and 4 is 12. So, we can rewrite 1/6 as 2/12 and 1/4 as 3/12. Now, we can add the fractions: 9/12 + 2/12 + 3/12 = 14/12. To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 2. Therefore, the simplified fraction is 7/6.

Tags

CCSS.4.NF.A.2

What is the least common denominator of 1/2 and 3/8?

Mathematical Equivalence

ON

Answer explanation

To find the least common denominator of 1/2 and 3/8, we need to find the smallest number that both 2 and 8 can divide evenly into. The least common multiple of 2 and 8 is 8. Therefore, the least common denominator of 1/2 and 3/8 is 8. This means that when we convert 1/2 and 3/8 to fractions with a common denominator, they will both have 8 as the denominator. So, the correct choice is

8

.

Tags

CCSS.4.NF.A.2

Convert 3/4 to a fraction with a denominator of 16.

Mathematical Equivalence

ON

Answer explanation

To convert 3/4 to an equivalent fraction with a denominator of 16, we need to multiply both the numerator and denominator by the same number. Multiplying 3 by 4 gives us 12, and multiplying 4 by 4 gives us 16. Therefore, the equivalent fraction is 12/16. This is the correct choice because it matches the given answer. The question asks us to convert 3/4, not the other options, so we can ignore them. The explanation is within the word limit of 75 words.

Tags

CCSS.4.NF.A.1