Subtracting fractions with like denominators means finding the difference between quantities partitioned into equal-sized parts: the denominator identifies the unit fraction, so the numerators count the parts being subtracted while the denominator remains unchanged. This includes fractions and mixed numbers with common denominators, including regrouping one whole as equivalent fractional parts when necessary, and interpreting differences with number lines or area models; unlike denominators and more advanced fraction algorithms are not included.
Fractions with like denominators have the same-sized parts. Keep the denominator the same and subtract the numerators.
For mixed numbers, subtract the whole numbers and the fractional parts. If the top fraction is too small, regroup one whole as fractional parts.
The denominators are both , so the fractions have like denominators.
The fractional part is smaller than , so regroup one whole from .
Since whole equals fifths,
Now subtract the fractional parts:
Subtract the whole numbers:
Put the parts together:
So, the difference is
The denominator stays because the pieces are still fifths.
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