Multiply and reduce to lowest terms. 3/4 X12 X 1 5/8
To multiply and reduce to lowest terms, we first convert the mixed number 1 5/8 into an improper fraction.
1 5/8 = (8*1 + 5)/8 = 13/8
Now, let's multiply the three fractions:
(3/4) x 12 x (13/8)
To multiply fractions, we multiply the numerators together and the denominators together:
(3 x 12 x 13) / (4 x 8)
This simplifies to:
(36 x 13) / 32
Now, we can multiply the numbers in the numerator and denominator:
468 / 32
To reduce to lowest terms, we can divide both the numerator and denominator by their greatest common divisor, which is 4:
(468/4) / (32/4) = 117/8
Therefore, the final answer is 117/8.
To multiply and reduce to lowest terms:
Step 1: Convert the mixed number 1 5/8 to an improper fraction.
1 5/8 = (8 * 1 + 5) / 8 = 13/8
Step 2: Multiply the fractions:
3/4 * 12 * 13/8 = (3 * 12 * 13)/(4 * 8) = 468/32
Step 3: Simplify the fraction to lowest terms:
To reduce the fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and denominator, which is 4.
468 ÷ 4 = 117
32 ÷ 4 = 8
Therefore, the simplified fraction is:
117/8
To multiply and reduce to lowest terms, we can follow these steps:
Step 1: Convert all mixed numbers into improper fractions.
The mixed number 1 5/8 can be written as an improper fraction by multiplying the whole number (1) by the denominator (8) and adding the numerator (5). So, 1 5/8 can be converted to (1 * 8 + 5)/8 = 13/8.
Step 2: Multiply the fractions numerators and denominators.
Multiply the numerators (3, 12, and 13) and denominators (4, 1, and 8) together:
(3/4) * (12/1) * (13/8) = (3 * 12 * 13) / (4 * 1 * 8)
Step 3: Simplify the expression.
To simplify the expression, calculate the product of the numerators (3 * 12 * 13) and the product of the denominators (4 * 1 * 8):
3 * 12 * 13 = 468
4 * 1 * 8 = 32
So, the expression is equal to 468/32.
Step 4: Reduce to lowest terms.
To reduce the fraction to its lowest terms, we can find the greatest common divisor (GCD) of the numerator (468) and denominator (32) and divide both by it.
The GCD of 468 and 32 is 4. Divide both the numerator and denominator by 4:
468/32 = (468 ÷ 4) / (32 ÷ 4) = 117/8
So, the expression 3/4 * 12 * 1 5/8 is equal to 117/8 when multiplied and reduced to lowest terms.