All categories

3 years ago

7/10÷2 5/8 Do i have to simplify

Mathematics

1 answer:

miv72 [106K]3 years ago

6 0

let's firstly convert the mixed fraction to improper fraction and then divide.

$\bf \stackrel{mixed}{2\frac{5}{8}}\implies \cfrac{2\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{21}{8}} \\\\[-0.35em] ~\dotfill$

$\bf \cfrac{7}{10}\div \cfrac{21}{8}\implies \cfrac{~~\begin{matrix} 7 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\underset{5}{~~\begin{matrix} 10\\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{\stackrel{4}{~~\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{3}{~~\begin{matrix} 21 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{4}{15}$

You might be interested in

Describe the rotation of J

Serga [27]

Answer:

The coordinates of J' when rotating by 90° counterclockwise will be: J'(3, 1)

The coordinates of J' when rotating by 90° clockwise will be: J'(-3, -1)

Step-by-step explanation:

Square JKLM with vertices

J(1, -3)

K(5, 0)

L(8, -4)

M(4, -7)

We have to determine the answer for the image J' of the point (1, -3) when we rotate the point by 90° counterclockwise, we need to switch x and y, make y negative.

In other words, the rule to rotate a point by 90° counterclockwise.

P(x, y) → P'(-y, x)

As we are given that J(1, -3), so the coordinates of J' will be:

J(1, -3) → J'(3, 1)

Therefore, the coordinates of J' when rotating by 90° counterclockwise will be: J'(3, 1).

When the point is rotated by 90° clockwise, we need to switch x and y, make x negative.

In other words, the rule to rotate a point by 90° clockwise.

P(x, y) → P'(y, -x)

As we are given that J(1, -3), so the coordinates of J' will be:

J(1, -3) → J'(-3, -1)

Therefore, the coordinates of J' when rotating by 90° clockwise will be: J'(-3, -1)

3 0

3 years ago

Boris is ordering supplies for his company. He ordered 20 boxes of pencils and 32 boxes of pens. What is the ratio of boxes of p

Allisa [31]

$\frac{boxes \ of \ pens}{boxes \ of \ pencils}=\frac{32}{20}=\frac{8 \times 4}{5 \times 4}=\boxed{\frac{8}{5}} \Leftarrow A$

6 0

3 years ago

Read 2 more answers

Shaniqua can read at a speed of 50 pages per hour. She reads 275 pages one weekend. How many hours does she read?

Burka [1]

275/50=5.5
She read for 5 and a half hours

5 0

3 years ago

Read 2 more answers

Simplify the expression write the answer in scientific notation (9×10^7) (7×10^9)

aliina [53]

$\text{The scientific notation}\ a\cdot10^k,\ \text{where}\ 1\leq a$

6 0

3 years ago

HELPPPP What is MB 48 96 110 55

Lady_Fox [76]

Minor Arc AC = 110 degrees (given)
As indicated in the hints,
OA=OC => OAC=OCA=(180-110)/2 = 35
Similarly,
OAB=OBA=(48-35)=13
=>
OBC=OCB=(180-35-35-13-13)/2=(180-96)/2=84/2=42
=>
Angle B = 13+42 = 55 degrees

Check:
55+55+35+35+13+13 = 180 degrees (angles of a triangle) ok.

3 0

3 years ago