What is half of 7/8 in a fraction?
Understand the Problem
The question is asking for the result of halving the fraction 7/8. This involves multiplying the fraction by 1/2 or determining what half of the given fraction equals.
Answer
The half of \( \frac{7}{8} \) is \( \frac{7}{16} \).
Answer for screen readers
The result of halving the fraction ( \frac{7}{8} ) is ( \frac{7}{16} ).
Steps to Solve
-
Convert the fraction into multiplication To find half of the fraction ( \frac{7}{8} ), we can multiply it by ( \frac{1}{2} ). This can be written as: $$ \frac{7}{8} \times \frac{1}{2} $$
-
Multiply the numerators Now, we will multiply the numerators together. The numerator of ( \frac{7}{8} ) is 7 and the numerator of ( \frac{1}{2} ) is 1. So, we get: $$ 7 \times 1 = 7 $$
-
Multiply the denominators Next, we multiply the denominators together. The denominator of ( \frac{7}{8} ) is 8 and the denominator of ( \frac{1}{2} ) is 2. So, we have: $$ 8 \times 2 = 16 $$
-
Combine the results Now we combine our results to get the new fraction: $$ \frac{7}{16} $$
The result of halving the fraction ( \frac{7}{8} ) is ( \frac{7}{16} ).
More Information
When you halve a fraction, you are essentially finding a fraction of the fraction! In this case, half of ( \frac{7}{8} ) means dividing the original quantity into two equal parts, resulting in ( \frac{7}{16} ).
Tips
- A common mistake is to add the fractions instead of multiplying them. Remember to multiply when halving a fraction.