Simplify 4/7 of 1¼*3¼+1/4

Answer 1

To simplify the expression, first convert 1¼ to an improper fraction:

1¼ = 5/4

Next, convert 3¼ to an improper fraction:

3¼ = 13/4

Now, rewrite the expression using the improper fractions:

4/7 * (5/4 * 13/4 + 1/4)

Now, apply the operations inside the parentheses:

4/7 * (65/16 + 1/4)

Combine the fractions:

4/7 * (65/16 + 4/16)

4/7 * (69/16)

Multiply the fractions together:

276/112

Divide both the numerator and denominator by their greatest common factor, which is 4:

69/28

Therefore, the simplified expression is 69/28.