Find the greatest common factor of 25x^2 and 20b^4

2 2/5 multiplied by 2 multiplied by 3 1/5

goldfiish [28.3K]

Answer:

15 9/25

Step-by-step explanation:

1 Convert 2\frac{2}{5}2

5

2

to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

=

c

ac+b

.

\frac{2\times 5+2}{5}\times 2\times 3\frac{1}{5}

5

2×5+2

×2×3

5

1

2 Simplify 2\times 52×5 to 1010.

\frac{10+2}{5}\times 2\times 3\frac{1}{5}

5

10+2

×2×3

5

1

3 Simplify 10+210+2 to 1212.

\frac{12}{5}\times 2\times 3\frac{1}{5}

5

12

×2×3

5

1

4 Convert 3\frac{1}{5}3

5

1

to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

=

c

ac+b

.

\frac{12}{5}\times 2\times \frac{3\times 5+1}{5}

5

12

×2×

5

3×5+1

5 Simplify 3\times 53×5 to 1515.

\frac{12}{5}\times 2\times \frac{15+1}{5}

5

12

×2×

5

15+1

6 Simplify 15+115+1 to 1616.

\frac{12}{5}\times 2\times \frac{16}{5}

5

12

×2×

5

16

7 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

×

d

c

=

bd

ac

.

\frac{12\times 2\times 16}{5\times 5}

5×5

12×2×16

8 Simplify 12\times 212×2 to 2424.

\frac{24\times 16}{5\times 5}

5×5

24×16

9 Simplify 24\times 1624×16 to 384384.

\frac{384}{5\times 5}

5×5

384

10 Simplify 5\times 55×5 to 2525.

\frac{384}{25}

25

384

11 Convert to mixed fraction.

15\frac{9}{25}

15 9/25

8 0

2 years ago

Read 2 more answers

Reduce to the lowest terms<br> 1. 4x^3 y^4 / -8xy^2 <br> 2. 3m^2-3n^2 / 6m+6n

lawyer [7]

1.
$\dfrac{4x^{3}y^{4}}{-8xy^{2}}=\dfrac{4}{-8}\cdot x^{3-1}y^{4-2}=\dfrac{-x^{2}y^{2}}{2}$

2.
$\dfrac{3m^{2}-3n^{2}}{6m+6n}=\dfrac{3}{6}\cdot \dfrac{(m+n)(m-n)}{m+n}=\dfrac{m-n}{2}$

3 0

3 years ago

-5/4x+2/5=-13/30. What is the solution to ths equation

uysha [10]

2/3 is the answer to this problem.

8 0

3 years ago

Mary used one big bag of flour. She baked four loaves of bread. Then, she used the remaining flour to make 48 muffins. How much

algol [13]

Answer:

Amount of flour in the bag when Mary began = $4x+48y$

Step-by-step explanation:

Given:

Number of baked loaves of bread made from flour = 4

Number of muffins made from flour = 48

To find: Amount of flour in the bag when Mary began

Solution:

Let x denotes amount of flour used to make one baked loave of bread and y denotes amount of flour used to make one muffin.

So,

Amount of flour used to make 4 baked loaves of bread = 4 x

Amount of flour used to make 48 muffins = 48 y

Amount of flour in the bag when Mary began = $4x+48y$

3 0

3 years ago

The glass part of a window is 32 1/2 inches wide. Including the frame on the left and right sides, the total width is 42 inches.

Lisa [10]

The glass part of the frame is an illustration of fractions

The width of each side of the frame is 5 1/4 inches

<h3>How to determine the width of each side?</h3>

The given parameters are:

Total width = 42 inches
Glass part = 32 1/2 inches

Represent the width of each side with x.

So, we have:

Glass part + 2x = Total width

Substitute known values

31 1/2 + 2x = 42

Subtract 31 1/2 from both sides

2x = 10 1/2

Divide both sides by 2

x = 5 1/4

Hence, the width of each side of the frame is 5 1/4 inches