Write 4 x 5/8 as a mixed number
The Correct Answer and Explanation is:
To convert the expression (4 \times \frac{5}{8}) into a mixed number, we start by performing the multiplication:
- Multiply Whole Number by Fraction:
The first step is to multiply the whole number (4) by the numerator of the fraction (5). This gives us:
[
4 \times 5 = 20
]
So, we now have ( \frac{20}{8} ). - Simplify the Fraction:
Next, we need to simplify ( \frac{20}{8} ) by finding the greatest common divisor (GCD) of the numerator (20) and the denominator (8). The GCD of 20 and 8 is 4. Dividing both the numerator and the denominator by their GCD:
[
\frac{20 \div 4}{8 \div 4} = \frac{5}{2}
] - Convert to Mixed Number:
Now, to convert the improper fraction ( \frac{5}{2} ) into a mixed number, we divide the numerator (5) by the denominator (2):
- ( 5 \div 2 = 2 ) with a remainder of 1. Therefore, we can express ( \frac{5}{2} ) as:
[
2 \frac{1}{2}
]
Thus, the answer to the expression ( 4 \times \frac{5}{8} ) written as a mixed number is ( 2 \frac{1}{2} ).
Final Answer:
The mixed number for ( 4 \times \frac{5}{8} ) is ( 2 \frac{1}{2} ).