Get the answer to "perform the following operations with real numbers. −2whole38+5whole78"

pedzenekO

Answered question

2021-10-18

perform the following operations with real numbers.

- 2 whole \frac{3}{8} + 5 whole \frac{7}{8}

Answer & Explanation

ensojadasH

Skilled2021-10-19Added 100 answers

Step 1
Rewrite the expression in mathematical form.

- 2 \frac{3}{8} + 5 \frac{7}{8}

Step 2
Multiply the denominator with whole and add the numerator to obtain the numerator of the improper fraction. Denominator remains the same.
The numbers with opposite signs are always subtracted and sign of larger number is taken with final result.
Convert the mixed fractions into improper fractions and subtract the fractions.

- \frac{3 \times 8 + 3}{8} + \frac{5 \times 8 + 7}{8} = - \frac{19}{8} + \frac{47}{8}

= \frac{28}{8}

= \frac{7}{2}

Step 3
Convert the improper fraction into mixed fraction.

\frac{7}{2} = 3 \frac{1}{2}

Step 4
Conclusion:

- 2 whole \frac{3}{8} + 5 whole \frac{7}{8} = 3 \frac{1}{2}

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