Evaluate 5/4.
Understand the Problem
The question is asking for the evaluation of the fraction 5/4, which involves expressing it as a decimal or mixed number.
Answer
The fraction \( \frac{5}{4} \) is equal to \( 1.25 \) as a decimal and \( 1 \frac{1}{4} \) as a mixed number.
Answer for screen readers
The answer is ( 1.25 ) as a decimal and ( 1 \frac{1}{4} ) as a mixed number.
Steps to Solve
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Convert the Fraction to a Decimal To convert the fraction ( \frac{5}{4} ) to a decimal, divide the numerator by the denominator. Calculating: $$ 5 \div 4 = 1.25 $$
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Identify the Mixed Number To express ( \frac{5}{4} ) as a mixed number, note that 4 goes into 5 once, with a remainder. The whole number is 1, and the remainder is 1. To find the remainder: $$ 5 - 4 \times 1 = 1 $$ This gives us the mixed number form as: $$ 1 \frac{1}{4} $$
The answer is ( 1.25 ) as a decimal and ( 1 \frac{1}{4} ) as a mixed number.
More Information
The decimal form ( 1.25 ) indicates that ( \frac{5}{4} ) is slightly more than 1. In mixed numbers, ( 1 \frac{1}{4} ) shows that there is 1 whole part and an additional quarter.
Tips
- Confusing the remainder with the whole number when converting to mixed numbers. Verify the calculation by ensuring that the numerator is always greater than the product of the whole number and the denominator.
- Forgetting to carry over the decimal point: when performing division, remember to place the decimal point correctly in the quotient.
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