What is 3/4 of 7?
Understand the Problem
The question is asking to find the value of three-fourths of seven. This entails performing a multiplication of the fraction 3/4 by the whole number 7.
Answer
The value of three-fourths of seven is \( \frac{21}{4} \) or \( 5 \frac{1}{4} \).
Answer for screen readers
The value of three-fourths of seven is ( \frac{21}{4} ) or ( 5 \frac{1}{4} ).
Steps to Solve
-
Set Up the Multiplication To find three-fourths of seven, we need to multiply the fraction ( \frac{3}{4} ) by the whole number 7.
-
Perform the Multiplication Multiply ( \frac{3}{4} ) by 7. In math, this is done as follows: $$ \frac{3}{4} \times 7 = \frac{3 \times 7}{4} = \frac{21}{4} $$
-
Convert into a Mixed Number (if needed) The result ( \frac{21}{4} ) can be converted into a mixed number:
- Divide the numerator by the denominator: ( 21 \div 4 = 5 ) remainder ( 1 ).
- This means ( \frac{21}{4} = 5 \frac{1}{4} ).
The value of three-fourths of seven is ( \frac{21}{4} ) or ( 5 \frac{1}{4} ).
More Information
Finding fractions of numbers is a common mathematical task that can be useful in various real-life situations, such as cooking (measuring ingredients), budgeting (calculating expenses), and many more.
Tips
- A common mistake is forgetting to simplify the fraction if necessary. In this case, ( \frac{21}{4} ) is already in simplest form, but one could mistakenly reduce it improperly.
AI-generated content may contain errors. Please verify critical information
