Fraction, Mix Numbers, Decimals, and Percentages

Write the improper fraction as a mixed number

¹²/₄

• 3 ³/₄

• 3 ¹/₄

• 3

• 4

Answer explanation

To convert the improper fraction 12/4 to a mixed number, divide 12 by 4. The result is 3 with a remainder of 0. Thus, the mixed number is simply 3, making the correct answer 3.

Write the improper fraction as a mixed number

²²/₃

• 7 ²/₃

• 7 ¹/₃

• 7 ¹/₄

• 7 ³/₄

Answer explanation

To convert the improper fraction 22/3 to a mixed number, divide 22 by 3. The quotient is 7 and the remainder is 1. Thus, it can be expressed as 7 1/3, making the correct answer 7 1/3.

Which symbol is correct for these two fractions?

• >

• <

• =

Answer explanation

The correct symbol is '>' because the first fraction is greater than the second. Comparing the two fractions shows that the value of the first is larger, confirming that '>' is the appropriate choice.

Write the mixed number as an improper fraction

5 ⁶/₇

Answer explanation

To convert the mixed number 5 6/7 to an improper fraction, multiply the whole number (5) by the denominator (7) and add the numerator (6). This gives 5*7 + 6 = 41. Thus, the improper fraction is 41/7.

Write the mixed number as an improper fraction

2 ³/₅

Answer explanation

To convert the mixed number 2 3/5 to an improper fraction, multiply the whole number (2) by the denominator (5) and add the numerator (3): 2*5 + 3 = 10 + 3 = 13. Thus, the improper fraction is 13/5.

Which is NOT an equivalent fraction to:
3/4

• 75/100

• 9/16

• 9/12

• 30/40

Answer explanation

To find equivalent fractions, we can simplify or scale the fraction. 3/4 is equivalent to 75/100 and 30/40, but 9/16 and 9/12 do not equal 3/4. Thus, 9/16 is NOT an equivalent fraction.

Find The Equivalent Fraction.

4/6

• 1/12

• 3/15

• 9/10

• 2/3

Answer explanation

To find an equivalent fraction for 4/6, simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 2. This gives 2/3, making it the correct choice.

What is the fraction of the shaded part?

• 1/6

• 5/6

• 1/4

Answer explanation

The shaded part represents 5 out of 6 equal sections, making the fraction of the shaded area 5/6. Thus, the correct answer is 5/6.

Solve and simplify to lowest terms.

• a

• b

• c

• d

Answer explanation

The solution simplifies correctly to the form represented by choice a. After solving the equation and reducing it to lowest terms, choice a is the only option that matches the simplified result.

Solve and simplify to lowest terms.

• a

• b

• c

• d

Answer explanation

The solution simplifies to the form represented by choice a. This indicates that the calculations and reductions were correctly performed, leading to the correct answer being option a.