Equivalent Expressions for 5 3/4 – 2 1/4

To find the expressions equivalent to (5 frac{3}{4} – 2 frac{1}{4}), we first need to convert the mixed numbers into improper fractions for easier calculation:

1. Convert to improper fractions:

– (5 frac{3}{4} = frac{5 times 4 + 3}{4} = frac{20 + 3}{4} = frac{23}{4})

– (2 frac{1}{4} = frac{2 times 4 + 1}{4} = frac{8 + 1}{4} = frac{9}{4})

Now we can rewrite the original expression:

[

5 frac{3}{4} – 2 frac{1}{4} = frac{23}{4} – frac{9}{4} = frac{23 – 9}{4} = frac{14}{4} = frac{7}{2}

]

2. Evaluate each expression for equivalence:

– Expression 1: (5 + frac{3}{4} – (2 + frac{1}{4}))

[

= 5 + frac{3}{4} – 2 – frac{1}{4} = 3 + frac{3 – 1}{4} = 3 +