Sudha had 8 3/4 meters long rope. She cut it into 7 equal parts. Find the length of each piece of the rope?
Answer (1)
To find the length of each piece of the rope when Sudha cuts her 8 3/4 meters long rope into 7 equal parts, we need to divide the total length of the rope by 7.
First, let's convert the mixed number 8 4 3 to an improper fraction:
Multiply the whole number by the denominator of the fraction and add the numerator to get the improper fraction.
8 × 4 + 3 = 32 + 3 = 35
Therefore, 8 4 3 = 4 35 .
Next, we need to divide 4 35 by 7:
Dividing a fraction by a whole number is the same as multiplying the fraction by the reciprocal of that number. So, divide 4 35 by 7:
4 35 ÷ 7 = 4 35 × 7 1
Multiply the numerators together and the denominators together:
4 × 7 35 × 1 = 28 35
Now simplify the fraction 28 35 by finding the greatest common divisor (GCD) of 35 and 28, which is 7:
Divide both the numerator and the denominator by their GCD:
28 ÷ 7 35 ÷ 7 = 4 5
Therefore, the length of each piece of rope is 4 5 meters, or 1.25 meters.
