What is 7^2\div 4^2 ?

The solution to 7^2\div 4^2 is 3 1/16

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7^2\div 4^2

7^{2} \div 4^{2}

3 \frac{1}{16}

Solution steps

7^{2} \div 4^{2}

Follow the PEMDAS order of operations

Calculate exponents

7^{2} : 49

7^{2}

7^{2} = 49

= 49

= 49 \div 4^{2}

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= 49 \div 16

Multiply and divide (left to right)

49 \div 16 : \frac{49}{16}

49 \div 16

49 \div 16 = \frac{49}{16}

= \frac{49}{16}

= \frac{49}{16}

Convert improper fractions to mixed numbers:

\frac{49}{16} = 3 \frac{1}{16}

\frac{49}{16} = 3

Remainder

1

\frac{49}{16}

Write the problem in long division format

16 \overline{∣ 49}

Divide

49

16

to get

3

Divide

49

16

to get

3

3 16 \overline{∣ 49}

Multiply the quotient digit

(3)

by the divisor

16

3 16 \overline{∣ 49} \underline{48}

Subtract

48

from

49

3 16 \overline{∣ 49} \underline{48} 1

3 16 \overline{∣ 49} \underline{48} 1

The solution for Long Division of

\frac{49}{16}

3

with remainder of

1

3 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{49}{16} = 3 \frac{1}{16}

= 3 \frac{1}{16}

= 3 \frac{1}{16}

3 + 314 \div 2 + 5

2 \cdot \frac{3}{7} + 8 \cdot \frac{5}{7}

(2 - 3 - 9) \times (- 2 - 7 - 5)

(15 + 3) \times 7

9 - \frac{1}{6} + \frac{1}{2}