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 :
- [tex]4\frac{2}{12} = \frac{4*12+2}{12} = \frac{48+2}{12} = \frac{50}{12}[/tex]
- [tex]2\frac{8}{12} = \frac{2*12+8}{12} = \frac{24+8}{12} = \frac{32}{12}[/tex]
- 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.
