What is the equivalent fraction of 7/8?
Understand the Problem
The question is asking for fractions that are equivalent to 7/8. This involves finding different fractions that represent the same value as 7/8 by multiplying or dividing the numerator and denominator by the same number.
Answer
Equivalent fractions for $ \frac{7}{8} $ include $ \frac{14}{16} $, $ \frac{21}{24} $, and $ \frac{28}{32} $.
Answer for screen readers
Equivalent fractions for $ \frac{7}{8} $ include $ \frac{14}{16} $, $ \frac{21}{24} $, and $ \frac{28}{32} $.
Steps to Solve
- Identify the Original Fraction
Recognize that the original fraction is $ \frac{7}{8} $.
- Multiply Both Numerator and Denominator
To find equivalent fractions, multiply both the numerator (7) and the denominator (8) by the same non-zero integer. For example, use 2: $ \frac{7 \times 2}{8 \times 2} = \frac{14}{16} $.
- Repeat with Another Integer
Choose another integer, like 3, and apply the same process: $ \frac{7 \times 3}{8 \times 3} = \frac{21}{24} $.
- Find Alternate Fractions
You can repeat the process with any integer. For example, using 4: $ \frac{7 \times 4}{8 \times 4} = \frac{28}{32} $.
- Verify Equivalence
You can check if the new fractions are equivalent to $ \frac{7}{8} $ by simplifying them. For example: For $ \frac{14}{16} $, divide both numbers by 2: $ \frac{14 \div 2}{16 \div 2} = \frac{7}{8} $.
Equivalent fractions for $ \frac{7}{8} $ include $ \frac{14}{16} $, $ \frac{21}{24} $, and $ \frac{28}{32} $.
More Information
Equivalent fractions are important in understanding ratios and proportions. You can create infinitely many equivalent fractions by selecting any integer to multiply or divide by.
Tips
- Forgetting to multiply or divide both numerator and denominator by the same number, which results in a different value.
- Using zero to multiply or divide, which creates undefined fractions.
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