Olympiad Test: Rational Numbers -1 - Free MCQ with solutions Class 7 Mathematics

The additive inverse of a number is what you add to it to get zero. To find the additive inverse of \(\frac{4}{5} + \frac{3}{7}\), we first need to calculate the sum.

1. To add the fractions, we need a common denominator. The least common multiple (LCM) of 5 and 7 is 35.

• Convert \(\frac{4}{5}\) to have a denominator of 35: \(\frac{4 \times 7}{5 \times 7} = \frac{28}{35}\).
• Convert \(\frac{3}{7}\) to have a denominator of 35: \(\frac{3 \times 5}{7 \times 5} = \frac{15}{35}\).

2. Now, add the two fractions:

• \(\frac{28}{35} + \frac{15}{35} = \frac{43}{35}\).

3. The additive inverse is the negative of this sum:

• \(-\frac{43}{35}\).

Therefore, the additive inverse of \(\frac{4}{5} + \frac{3}{7}\) is \(-\frac{43}{35}\).

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