High School

Which subtraction equation shows how to subtract \( \frac{42}{12} - \frac{28}{12} \) using equivalent fractions?

A. \( \frac{42}{12} - \frac{28}{12} \)

B. \( \frac{18}{12} - \frac{22}{12} \)

C. \( \frac{50}{12} - \frac{32}{12} \)

D. \( \frac{48}{12} - \frac{24}{12} \)

Answer :

The correct answer is Option C: [tex]\frac{50}{12} -\frac{32}{12}[/tex].

To solve the given problem of finding the equivalent fractions to subtract [tex]4 \frac{2}{12}-2\frac{8}{12}[/tex], convert the mixed form of fraction to normal :

  1. [tex]4\frac{2}{12} = \frac{4*12+2}{12} = \frac{48+2}{12} = \frac{50}{12}[/tex]
  2. [tex]2\frac{8}{12} = \frac{2*12+8}{12} = \frac{24+8}{12} = \frac{32}{12}[/tex]
  3. Now plugging these values in original expression:

[tex]\frac{50}{12} -\frac{32}{12}[/tex]

The equivalent expression is [tex]\frac{50}{12} -\frac{32}{12}[/tex].

The correct question is:
Which subtraction equation shows how to subtract

[tex]4\frac{2}{12} -2 \frac{8}{12}[/tex]

using equivalent fractions?

a. [tex]\frac{42}{12} - \frac{28}{12}[/tex]

b. [tex]\frac{18}{12} - \frac{22}{12}[/tex]

c. [tex]\frac{50}{12} - \frac{32}{12}[/tex]

d. [tex]\frac{48}{12} - \frac{24}{12}[/tex]

Final answer:

The correct subtraction equation using equivalent fractions for subtracting 4 2/12 and 2 8/12 is 50/12 - 32/12.

Explanation:

The correct answer is C. 50/12 - 32/12.

To solve this problem, we can convert each mixed number to a fraction with a denominator of 12.

4 2/12 = 50/12

2 8/12 = 32/12

Now, we can subtract the two fractions:

50/12 - 32/12 = 18/12

Therefore, the subtraction equation that shows how to subtract 4 2/12 - 2 8/12 using equivalent fractions is 50/12 - 32/12.