# A piece of wire \[\dfrac{7}{8}\] meter long broke into two pieces. One piece was \[\dfrac{1}{4}\] meter long. How long is the other piece?

Answer

Verified

280.8k+ views

**Hint:**we have to determine the unknown value of the length of another piece, so just subtract the known value from the total length.

Given: total length of wire= 7/8 meter and length of one piece= 1/4 meter

To find: length of other piece=x

**Complete step by step answer:**

Step 1: we have total length of the wire equal to \[\dfrac{7}{8}\]meter

Now let us suppose that the unknown length of the wire be ‘x’, and the length of another piece of the wire is given as \[\dfrac{1}{4}\]meter long.

Therefore, the total length of the wire is equal to the sum of the length of the both broken pieces, that is

Total length of the wire = length of one piece of wire + length of other piece of wire

Step 2: substituting the values, we get

Total length of the wire = length of one piece of wire + length of other piece of wire

\[\dfrac{7}{8} = \dfrac{1}{4} + x\]

Rearranging the terms such that we get unknown value on one side of equality and other terms on other side of equality

\[x = \dfrac{7}{8} - \dfrac{1}{4}\]

Step 3: further simplifying, we get

\[x = \dfrac{7}{8} - \dfrac{1}{4}\]

\[x = \dfrac{{7 \times 4 - 1 \times 8}}{{8 \times 4}}\]

\[x = \dfrac{{28 - 8}}{{32}}\]

\[x = \dfrac{{20}}{{32}}\]

Reducing to its simplest form, we get

\[x = \dfrac{{20 \div 4}}{{32 \div 4}}\]

\[x = \dfrac{5}{8}\]

Hence, the value of unknown length of other piece is equal to \[\dfrac{5}{8}\]

**Note:**The total length of the wire is equal to the sum of the individual length of all its broken pieces and the unknown length of any broken piece can be obtained by subtracting all other known length of the pieces from the total length of the wire.

Recently Updated Pages

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Find the values of other five trigonometric ratios class 10 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

What is 1 divided by 0 class 8 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

What is the past tense of read class 10 english CBSE

What is pollution? How many types of pollution? Define it

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

How many crores make 10 million class 7 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

How fast is 60 miles per hour in kilometres per ho class 10 maths CBSE