What is todecimal 5 1/4 ?

The solution to todecimal 5 1/4 is 5.25

Convert to a Decimal 5 1/4

convert to decimal

5 \frac{1}{4}

5.25

Solution steps

5 \frac{1}{4}

Convert

\frac{1}{4}

to decimal by applying long division

Long Division

\frac{1}{4} : 0.25

\frac{1}{4}

Divide

1

4

to get

0

Divide

1

4

to get

0

0 4 \overline{∣ 1}

Multiply the quotient digit

(0)

by the divisor

4

0 4 \overline{∣ 1} \underline{0}

Subtract

0

from

1

0 4 \overline{∣ 1} \underline{0} 1

Add a decimal place and a zero to the dividendBring down the zero from the dividend

0. 4 \overline{∣ 1.0} \underline{0} 10

0. 4 \overline{∣ 1.0} \underline{0} 10

Divide

10

4

to get

2

Divide

10

4

to get

2

0.2 4 \overline{∣ 1.0} \underline{0} 10

Multiply the quotient digit

(2)

by the divisor

4

0.2 4 \overline{∣ 1.0} \underline{0} 10 \underline{8}

Subtract

8

from

10

0.2 4 \overline{∣ 1.0} \underline{0} 10 \underline{8} 2

Add a zero to the dividendBring down the zero from the dividend

0.2 4 \overline{∣ 1.00} \underline{0} 10 \underline{8} 20

0.2 4 \overline{∣ 1.00} \underline{0} 10 \underline{8} 20

Divide

20

4

to get

5

Divide

20

4

to get

5

0.25 4 \overline{∣ 1.00} \underline{0} 10 \underline{8} 20

Multiply the quotient digit

(5)

by the divisor

4

0.25 4 \overline{∣ 1.00} \underline{0} 10 \underline{8} 20 \underline{20}

Subtract

20

from

20

0.25 4 \overline{∣ 1.00} \underline{0} 10 \underline{8} 20 \underline{20} 0

0.25 4 \overline{∣ 1.00} \underline{0} 10 \underline{8} 20 \underline{20} 0

The solution for Long Division of

\frac{1}{4}

0.25

0.25

5 + 0.25

Simplify

5.25

6 \frac{1}{2}

4 \frac{1}{2}

\frac{30}{18}

\frac{16}{21}

\frac{21}{50}