Write your answer as a fraction in (7)/(10)+(1)/(4)-(3)/(8)
The Correct Answer and Explanation is :
The correct answer is: ( \frac{23}{40} )
The correct answer to the expression ( \frac{7}{10} + \frac{1}{4} – \frac{3}{8} ) is ( \frac{23}{40} ).
Step-by-Step Explanation:
- Identify the fractions:
We are working with three fractions:
- ( \frac{7}{10} )
- ( \frac{1}{4} )
- ( \frac{3}{8} )
- Finding a common denominator:
To add and subtract fractions, they need a common denominator. The denominators are 10, 4, and 8. The least common denominator (LCD) for these is 40. - Convert each fraction to have the denominator of 40:
- ( \frac{7}{10} = \frac{28}{40} ) (since ( 7 \times 4 = 28 ) and ( 10 \times 4 = 40 ))
- ( \frac{1}{4} = \frac{10}{40} ) (since ( 1 \times 10 = 10 ) and ( 4 \times 10 = 40 ))
- ( \frac{3}{8} = \frac{15}{40} ) (since ( 3 \times 5 = 15 ) and ( 8 \times 5 = 40 ))
- Perform the addition and subtraction:
Now, we can add and subtract the fractions:
- First, add ( \frac{28}{40} + \frac{10}{40} = \frac{38}{40} )
- Then subtract ( \frac{38}{40} – \frac{15}{40} = \frac{23}{40} )
Thus, the final result is ( \frac{23}{40} ).