Cutting Rope into Equal Pieces: A Simple Guide with Math

When working with ropes, it’s often necessary to cut them into equal pieces of specific lengths. In this guide, we will explore how to determine how many pieces of length 3 3/4 cm can be cut from a rope of length 30 cm. This process involves basic math and the use of fractions and improper fractions.

Converting Mixed Fractions to Improper Fractions

Let's start by converting the mixed fraction 3 3/4 cm into an improper fraction.

Multiply the whole number (3) by the denominator (4) and add the numerator (3): 3 * 4 3 12 3 15 Place the result over the original denominator to get the improper fraction: 15/4 cm

Dividing the Total Length by the Piece Length

Next, we need to divide the total length of the rope (30 cm) by the length of each piece (15/4 cm) to determine how many pieces we can cut.

Express the division as a multiplication by the reciprocal: 30 / (15/4) 30 * (4/15) Multiply the numbers: 30 * (4/15) (30 * 4) / 15 120 / 15 8

Therefore, you can cut 8 pieces of length 3 3/4 cm each from a rope of length 30 cm.

Easier Steps to Solve the Problem

Another way to solve the problem is to convert the mixed number to a decimal:

3 3/4 can be written as 3.75 cm. Divide 30 cm by 3.75 cm: 30 / 3.75 8

Using Fractions for Accuracy

If you prefer to work with fractions, follow these steps:

Convert the mixed number to an improper fraction: 3 3/4 15/4 Divide the total length by the improper fraction: 30 / (15/4) 30 * (4/15) 8

Both methods lead to the same answer: you can cut 8 pieces of 3 3/4 cm each from a 30 cm length of rope.

Understanding these math concepts and solving problems like this can help you in various scenarios, such as in home improvement, craft projects, or even in commercial setups where precise measurements are crucial.