Lena can knit 14 square inches of a blanket in 3 1/2 hours
A. 49 square inches per hour and 1/49 of an hour per square inch
B. 1/49 of a square inch per hour And 49 hours per square inch
C. 1/4 of a square inch per house and 4 hours per square inch
D. 4 square inches per hour and 1/4 of an hour per square inch
To find out how much Lena can knit in 1 hour, we can divide the total amount of knitting (14 square inches) by the total amount of time (3 1/2 hours).
14 square inches / 3 1/2 hours = 4 square inches per hour.
So, Lena can knit 4 square inches in 1 hour.
Now, to find out how much time it takes Lena to knit 1 square inch, we can divide the total amount of time (3 1/2 hours) by the total amount of knitting (14 square inches).
3 1/2 hours / 14 square inches = 1/4 hour per square inch.
So, the correct answer is D. 4 square inches per hour and 1/4 of an hour per square inch.
To calculate Lena's knitting speed, we need to find the number of square inches she can knit in one hour.
Step 1: Convert 3 1/2 hours to a single fraction.
3 1/2 = (2 * 3) + 1 = 7/2
Step 2: Divide the number of square inches knitted by the number of hours.
14 square inches / 3.5 hours = 4 square inches per hour
So, Lena can knit 4 square inches of the blanket per hour.
Therefore, the correct answer is D. 4 square inches per hour and 1/4 of an hour per square inch.
To calculate Lena's knitting rate, we need to divide the number of square inches she can knit by the number of hours it takes her. In this case, Lena can knit 14 square inches in 3 1/2 hours.
To find Lena's knitting rate in terms of square inches per hour, we divide the number of square inches (14) by the number of hours (3 1/2).
To divide a whole number by a fraction, we can convert the whole number to a fraction with the same denominator. In this case, 3 is the whole number and we can convert it to a fraction over 1: 3 = 3/1.
Now we can divide 14 by 3 1/2, which we can write as 14/1 divided by 7/2.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal is found by swapping the numerator and denominator of the fraction. Thus, 7/2 becomes 2/7.
So, the division can be rewritten as 14/1 x 2/7.
Multiplying the numerators (14 x 2) gives us 28, and multiplying the denominators (1 x 7) gives us 7.
Therefore, Lena can knit at a rate of 28 square inches per 7 hours, which can be simplified by dividing both the numerator and denominator by 7 to get 4 square inches per hour.
Hence, the correct answer is option D: 4 square inches per hour and 1/4 of an hour per square inch.