What is 1+1/4*16/11 ?

The solution to 1+1/4*16/11 is 1 4/11

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Popular >

1+1/4*16/11

Solution

1 + \frac{1}{4} \cdot \frac{16}{11}

Solution

1 \frac{4}{11}

Solution steps

1 + \frac{1}{4} \cdot \frac{16}{11}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{4} \cdot \frac{16}{11} : \frac{4}{11}

\frac{1}{4} \cdot \frac{16}{11}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 16}{4 \cdot 11}

\frac{1 \cdot 16}{4 \cdot 11} = \frac{4}{11}

\frac{1 \cdot 16}{4 \cdot 11}

Multiply the numbers:

1 \cdot 16 = 16

= \frac{16}{4 \cdot 11}

Factor the number:

16 = 4 \cdot 4

= \frac{4 \cdot 4}{4 \cdot 11}

Cancel the common factor:

4

= \frac{4}{11}

= \frac{4}{11}

= 1 + \frac{4}{11}

Add and subtract (left to right)

1 + \frac{4}{11} : \frac{15}{11}

1 + \frac{4}{11}

1 + \frac{4}{11} = \frac{15}{11}

1 + \frac{4}{11}

Convert element to fraction:

1 = \frac{1 \cdot 11}{11}

= \frac{1 \cdot 11}{11} + \frac{4}{11}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{1 \cdot 11 + 4}{11}

1 \cdot 11 + 4 = 15

1 \cdot 11 + 4

Multiply the numbers:

1 \cdot 11 = 11

= 11 + 4

Add the numbers:

11 + 4 = 15

= 15

= \frac{15}{11}

= \frac{15}{11}

= \frac{15}{11}

Convert improper fractions to mixed numbers:

\frac{15}{11} = 1 \frac{4}{11}

\frac{15}{11} = 1

Remainder

4

\frac{15}{11}

Write the problem in long division format

11 \overline{∣ 15}

Divide

15

11

to get

1

Divide

15

11

to get

1

1 11 \overline{∣ 15}

Multiply the quotient digit

(1)

by the divisor

11

1 11 \overline{∣ 15} \underline{11}

Subtract

11

from

15

1 11 \overline{∣ 15} \underline{11} 4

1 11 \overline{∣ 15} \underline{11} 4

The solution for Long Division of

\frac{15}{11}

1

with remainder of

4

1 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{15}{11} = 1 \frac{4}{11}

= 1 \frac{4}{11}

= 1 \frac{4}{11}

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10 \div 7 - 4 \div 3

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- 5 - \frac{3}{5} - 36

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12 - 10 - 5

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- 2 (1)^{2} - 2 (1)

4^7+3^6

4^{7} + 3^{6}

Frequently Asked Questions (FAQ)

What is 1+1/4*16/11 ?
The solution to 1+1/4*16/11 is 1 4/11