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Katena32 [7]
3 years ago
7

What is 7/10+1/4 in simplest form

Mathematics
2 answers:
Nonamiya [84]3 years ago
8 0

\text{Hey there!}

\mathsf{What\ is\ \dfrac{7}{10}+\dfrac{1}{4}\ in\ simplest\ form?}

\text{First, look for the lowest common denominator (LCD) of the fractions.}\\\text{If you did the calculations correctly, you should've came up with 20 as}\\\text{your  LCD}

\mathsf{Here\ is\ how so: \dfrac{7\times2}{10\times2}+\dfrac{1\times5}{4\times5} = \ ?}

\mathsf{7\times2=14\leftarrow first\ numerator}\\\mathsf{10\times2=20\leftarrow first\ denominator}

\mathsf{1\times5=5\leftarrow second\ numerator}\\\mathsf{4\times5=20\leftarrow second\ denominator}

\mathsf{Your\ new\ equation\ SHOULD\ look\  like\ this: \dfrac{14}{20}+\dfrac{5}{20}}

\text{Since, your DENOMINATORS are ALIKE we can KEEP IT}

\mathsf{Which\ leaves\ us\ with\ the\ last\ step\ of\ the\ problem}

\mathsf{ \dfrac{14+5}{20}}}

\mathsf{14+5=19\leftarrow your\ new\ numerator}\\\\\mathsf{20 = 20\leftarrow your\ new\ denominator}

\boxed{\boxed{\bf{Answer: \mathsf{\dfrac{19}{20}}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

Stells [14]3 years ago
3 0

Answer: 19/20

Step-by-step explanation:

7/10 turns into 14/20

1/4 turns into 5/20

14/20 + 5/20

14 + 5 over 20

= 19/20

19/20 is in simplest form.

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3 years ago
If angle ABC is one degree less than three times angle ABD and angle DBC=47 find each measure
Contact [7]

It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.

Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC

⇒ Angle ABC = Angle ABD + Angle DBC

Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree

Let angle ABD be x

⇒ Angle ABC = 3x-1

Also, Angle ABC = Angle ABD + Angle DBC

Substituting the values in the above equations

⇒ 3x-1 = x+47

⇒ 2x = 48

⇒ x = 24

So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree

8 0
3 years ago
HELP ASAP!!!!<br> Given (x, y ) = (5, 15). Find tan θ.
Darina [25.2K]
<span>tan θ is defined as the opposite/adjacent side to the angle in a triangle

in this case you have a triangle which forms from (0,0) to (5,0) and (5,15), with </span><span>θ at (0,0)

-> your x coordinate is the adjacent side, and y the opposite
</span>
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3 years ago
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