Math Problem Statement

edith wants to cut pieces of ribbon 1/3 meter long from a piece of 5/6 meter how many pieces can be cut

Solution

To find out how many pieces of ribbon 1/3 meter long can be cut from a piece that is 5/6 meter long, you need to divide the total length of the ribbon by the length of each piece:

Total length of ribbonLength of each piece=5/61/3\frac{\text{Total length of ribbon}}{\text{Length of each piece}} = \frac{5/6}{1/3}

Dividing fractions involves multiplying by the reciprocal of the divisor:

5/61/3=56×31=5×36×1=156=2.5\frac{5/6}{1/3} = \frac{5}{6} \times \frac{3}{1} = \frac{5 \times 3}{6 \times 1} = \frac{15}{6} = 2.5

So, Edith can cut 2 full pieces of ribbon, with some leftover.

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Related questions:

  1. How much ribbon is left after cutting the 2 pieces?
  2. What if each piece of ribbon was 1/4 meter long?
  3. How many pieces can be cut from 1 meter of ribbon if each piece is 1/3 meter?
  4. What if the total length of ribbon was 7/6 meters? How many 1/3 meter pieces could be cut?
  5. How do you simplify fractions when dividing?

Tip: When dividing fractions, remember to multiply by the reciprocal of the second fraction (flip the numerator and denominator).

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Math Problem Analysis

Mathematical Concepts

Fractions
Division of Fractions
Multiplication by Reciprocals

Formulas

Total pieces = Total length ÷ Length of each piece
Division of fractions: a/b ÷ c/d = a/b × d/c

Theorems

Division of Fractions Theorem (Multiplication by Reciprocal)

Suitable Grade Level

Grades 5-7