To solve for [tex]\( \frac{4}{7} \)[/tex] of 448, follow these steps:
1. Understand the fraction: The fraction [tex]\( \frac{4}{7} \)[/tex] indicates that we want to find 4 parts out of a total of 7 equal parts of the number 448.
2. Divide the total value by the denominator: First, determine what one part out of the 7 parts is by dividing 448 by 7.
[tex]\[
\frac{448}{7} = 64
\][/tex]
3. Multiply by the numerator: Next, find the value of the 4 parts by multiplying the result from the previous step by the numerator, which is 4.
[tex]\[
64 \times 4 = 256
\][/tex]
Therefore, [tex]\( \frac{4}{7} \)[/tex] of 448 equals 256.
