Multiply ⅘ by 7 ⅓. Convert the product to be a mixed number.
To multiply ⅘ by 7 ⅓, first, we convert both numbers to improper fractions.
⅘ can be written as 4/5.
7 ⅓ can be written as 7 + 1/3 = 7 + 3/3 = 7 + 3/3 = 7 + 1 = 8/1 + 1 = 8/1 + 1/1 = 9/1.
Next, we multiply the two fractions:
4/5 * 9/1 = 36/5.
To convert this improper fraction to a mixed number, we divide the numerator by the denominator:
36 ÷ 5 = 7 remainder 1.
The quotient is 7, which represents the whole number part of the mixed number. The remainder 1 represents the numerator of the fraction part, and the denominator remains 5.
Therefore, the product ⅘ * 7 ⅓, expressed as a mixed number, is 7 1/5.
To multiply ⅘ by 7 ⅓, we'll first convert each fraction to improper fractions.
The improper fraction equivalent of ⅘ is (4 × 1 + 1) / 5 = 5 / 5 + 1 / 5 = 1 + 1 / 5 = 1 1/5.
The improper fraction equivalent of 7 ⅓ is (7 × 3 + 1) / 3 = 21 / 3 + 1 / 3 = 7 + 1 / 3 = 7 1/3.
Now, we'll multiply the two improper fractions together:
(1 1/5) × (7 1/3) = (6/5) × (22/3).
To multiply the fractions, we multiply the numerators together and the denominators together:
(6/5) × (22/3) = (6 × 22) / (5 × 3) = 132 / 15.
Now, we can simplify the resulting fraction. Both the numerator and the denominator are divisible by 3:
132 / 15 = (44 × 3) / (5 × 3) = 44 / 5.
To convert the resulting fraction to a mixed number, we divide the numerator (44) by the denominator (5). The quotient is the whole number part, and the remainder becomes the numerator of the fraction:
44 ÷ 5 = 8 remainder 4.
Therefore, the product 132/15 as a mixed number is 8 4/5.
To multiply ⅘ by 7 ⅓, we can follow these steps:
Step 1: Convert each fraction to an improper fraction.
⅘ can be written as (8/5).
7 ⅓ can be written as (22/3).
Step 2: Multiply the numerators and the denominators.
(8/5) × (22/3) = (8 × 22) / (5 × 3) = 176/15
Step 3: Convert the improper fraction to a mixed number.
Divide the numerator (176) by the denominator (15). The quotient is the whole number part, and the remainder is the numerator of the fractional part.
176 ÷ 15 = 11 remainder 11
So, the mixed number is 11 11/15.