Math  /  Numbers & Operations

Question13) 214=\frac{21}{4}=

Studdy Solution

STEP 1

1. We need to convert the improper fraction 214\frac{21}{4} into a mixed number.

STEP 2

1. Divide the numerator by the denominator.
2. Express the result as a mixed number.

STEP 3

Divide the numerator 2121 by the denominator 44.
21÷4=5 21 \div 4 = 5
The quotient is 55, and there is a remainder.

STEP 4

Calculate the remainder of the division.
21(4×5)=2120=1 21 - (4 \times 5) = 21 - 20 = 1
The remainder is 11.

STEP 5

Express the improper fraction as a mixed number using the quotient and the remainder.
The mixed number is:
514 5 \frac{1}{4}
The improper fraction 214\frac{21}{4} expressed as a mixed number is:
514\boxed{5 \frac{1}{4}}

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