Division: Mixed Numbers A mixed number is a number expressed as the sum of a whole number and a fraction, such as 3 1 4. When you divide a number by a mixed number, first rewrite the mixed number as an improper fractions. Then multiply the number by the reciprocal of the improper fraction. The numerator and denominator are part of the proper fraction that makes the mixed number. Properties of mixed numbers. It is partly a whole number. It is partly a fraction. Converting improper fractions to mixed fractions. Step 1: Divide the numerator by the denominator. Step 2: Write down the quotient as the whole number. Step 3: Write down.
A mixed number is a number expressed as the sum of a whole number and a fraction , such as .
When you divide a number by a mixed number, first rewrite the mixed number as an improper fractions . Then multiply the number by the reciprocal of the improper fraction.
Example 1:
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Find the quotient. Write in simplest form.
First, write the mixed numbers as improper fractions. Live interior 3d.
So, the expression becomes
Multiply by the reciprocal of , which is .
Multiply the numerators and multiply the denominators.
2 6 As A Fraction
Write 12 5 As A Mixed Number
Write the improper fraction as a mixed number. Automounter 1 4 2 – automatically mount network shares.
So,
Example 2:
Find the quotient. Write in simplest form.
First, write the mixed numbers as improper fractions.
2.6 Repeating As A Fraction
So, the expression becomes
Multiply by the reciprocal of , which is .
The GCF of and is . So, to simplify the fractions, divide and by .
The GCF of and is . So, to simplify the fractions, divide and by .
Multiply the numerators and multiply the denominators.
Write the improper fraction as a mixed number.
So,
.