Mastering Fractions and Decimals

What is the sum of 3/8 and 1/4?

• 1/2

• 5/8

• 3/4

• 5/12

Answer explanation

To find the sum of 3/8 and 1/4, we need to find a common denominator. The common denominator is 8. So, 3/8 + 1/4 = (3/8) + (2/8) = 5/8. Therefore, the correct answer is 5/8.

Subtract 15.62 from 47.89.

• 32.27

• 32.29

• 32.17

• 32.19

Answer explanation

To subtract 15.62 from 47.89, subtract the decimal parts first: 89 - 62 = 27. Then subtract the whole numbers: 47 - 15 = 32. The correct answer is 32.27.

Multiply the mixed fractions 2 1/3 and 1 3/4.

• 4 1/12

• 3 7/12

• 4 1/4

• 4 7/12

Answer explanation

To multiply mixed fractions, convert them to improper fractions. Multiply the numerators and denominators separately, then simplify the result. The correct answer is 4 7/12.

Divide 3/5 by 2/7.

• 21/10

• 7/10

• 1 1/10

• 1 2/5

Answer explanation

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. So, (3/5) ÷ (2/7) = (3/5) × (7/2) = 21/10. Therefore, the correct answer is 21/10.

Which is greater: 7/12 or 5/8?

• 7/12

• 5/8

• Both are equal

• Cannot be determined

Answer explanation

The correct answer is 5/8. It is greater than 7/12.

Order the following decimals from smallest to largest: 0.75, 0.507, 0.78.

• 0.507, 0.75, 0.78

• 0.75, 0.507, 0.78

• 0.507, 0.78, 0.75

• 0.78, 0.75, 0.507

Answer explanation

The correct order of the decimals is 0.507, 0.75, 0.78. This is because 0.507 is the smallest, followed by 0.75, and finally 0.78. Therefore, the correct choice is 0.507, 0.75, 0.78.

Add 123 and 456.

• 569

• 579

• 589

• 599

Answer explanation

To add 123 and 456, simply add the corresponding digits together. The correct answer is 579, as it is the sum of 1+4, 2+5, and 3+6.

Subtract 987 from 1234.

• 247

• 257

• 267

• 277

Answer explanation

To subtract 987 from 1234, subtract each digit from right to left. Start with 4-7, which is -3. Then, 3-8 is -5. Finally, 1-9 is -8. The correct answer is 247.

Multiply 12 by 15.

• 160

• 170

• 180

• 190

Answer explanation

To multiply 12 by 15, we multiply the two numbers together. The correct answer is 180, which is obtained by multiplying 12 by 15.

Is 3/4 greater than, less than, or equal to 0.75?

• Greater than

• Less than

• Equal to

• Cannot be determined

Answer explanation

The fraction 3/4 is equal to the decimal 0.75. Therefore, 3/4 is equal to 0.75.