Question
Multiply 7/8 by 3 1/2 . Convert the product to be a mixed number.(1 point)
Responses
3 1/16
49/16
4 3/8
4 1/16
To multiply 7/8 by 3 1/2, we can first convert the mixed number into an improper fraction.
3 1/2 can be written as (3 * 2 + 1)/2 = 7/2.
Now, we multiply 7/8 by 7/2.
(7/8) * (7/2) = 49/16.
To convert this improper fraction to a mixed number, we divide the numerator (49) by the denominator (16).
49 ÷ 16 = 3, with a remainder of 1.
Therefore, the product, when converted to a mixed number, is 3 1/16.
So the correct response is:
3 1/16
To multiply 7/8 by 3 1/2, we need to first convert both fractions to improper fractions.
7/8 = (8 * 1 + 7) / 8 = 15/8
3 1/2 = (2 * 3 + 1) / 2 = 7/2
Next, we multiply the numerators together and multiply the denominators together:
(15/8) * (7/2) = (15 * 7) / (8 * 2) = 105/16
To convert the improper fraction 105/16 to a mixed number, we divide the numerator (105) by the denominator (16):
105 ÷ 16 = 6 remainder 9
The quotient (6) becomes the whole number part, and the remainder (9) becomes the numerator of the fraction part. The denominator (16) remains the same.
Therefore, the product of 7/8 and 3 1/2, when converted to a mixed number, is 6 9/16.
To multiply the fractions 7/8 by 3 1/2, you need to follow these steps:
Step 1: Convert the mixed number 3 1/2 into an improper fraction.
To convert the mixed number 3 1/2 into an improper fraction, you need to multiply the whole number (3) by the denominator (2) and add the numerator (1). This gives you (3 * 2) + 1 = 7. So, 3 1/2 can be written as the improper fraction 7/2.
Step 2: Multiply the fractions.
To multiply fractions, you simply multiply the numerators together and the denominators together. Multiply 7/8 by 7/2, which gives you (7 * 7) / (8 * 2) = 49/16.
Step 3: Convert the improper fraction to a mixed number.
To convert the improper fraction 49/16 into a mixed number, you need to divide the numerator (49) by the denominator (16). The quotient is the whole number part of the mixed number, and the remainder is the numerator of the fractional part.
Dividing 49 by 16, you get a quotient of 3 with a remainder of 1. So, the mixed number is 3 1/16.
Therefore, the product of 7/8 and 3 1/2, when converted to a mixed number, is 3 1/16.