Greta has a piece of cloth that is 9 yards long. She cuts it into pieces that each 1/3 yard long. How many pieces of cloth does Greta have now? 18 27 12 3

To find out how many pieces of cloth Greta has, divide the total length of the cloth by the length of each piece:
\[\text { Number of pieces} = \frac { \text { Total length} } { \text { Length of each piece} } \]
Given:

• Total length of cloth = 9 yards
• Length of each piece = \(\frac { 1} { 3} \) yard

So,
\[\text { Number of pieces} = \frac { 9} { \frac { 1} { 3} } = 9 \times 3 = 27\]
Therefore, Greta has 27 pieces of cloth.

Supplemental Knowledge

When dividing a whole number by a fraction, you can think of it as multiplying the whole number by the reciprocal of the fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator. For example, the reciprocal of \(\frac { 1} { 3} \) is 3.

Applied Knowledge

Imagine you need to cut up a long ribbon into smaller pieces for your craft project and you need to know how to divide its lengths accurately so as not to waste any material in doing so. Understanding division is crucial here so as not to waste material!

Understanding basic arithmetic operations such as division and fractions is integral for everyday tasks like cutting materials or allocating resources. If you want to develop or strengthen your math abilities or need assistance with specific issues, UpStudy provides comprehensive tools and resources tailored specifically for you.
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