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Verified Answer :

MatCauthon

Her total allowance as a fraction could be expressed by 9/9. When you subtract the amount that she used, 4/9, you are left with 5/9, which is the solution.

A fraction of the amount of her allowance represents part of Martha's total allowance

  • The amount of her allowance Martha had left is  \(\underline{\dfrac{5 }{9}}\), of her allowance

Reason:

Given parameter;

The amount of her allowance Martha spent on food and shopping = 4/9

The fraction of her allowance she had left: Required

Let A, represent her allowance, we have;

The amount of her allowance Martha spent on food and shopping = \(\dfrac{4}{9} \cdot A\)

The amount f her allowance, A, Martha had left is given as follows;

  • \(Amount \ left = A - \dfrac{4}{9} \cdot A = \dfrac{9 \cdot A - 4 \cdot A}{9} = \dfrac{5 \cdot A }{9}\)

Amount left is \(\dfrac{5 \cdot A }{9}\)

The amount of her allowance Martha had left is  \(\underline{\dfrac{5 }{9}}\), of her allowance

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