how to evaluate expressions with fractions and whole numbers

OPERATIONS WITH FRACTIONS

Operations with Fractions :

In this plane section, you will learn, how to answer the four binary operations with fractions.

(i) Addition

(ii) Subtraction

(deuce-ac) Multiplication

(iv) Division

Addition and Minus of Fractions with Same Denominator

If we add or subtract two or more fractions with the same denominator, we have to take the denominator formerly and simplify the values in numerator.

Example :

Find the value of :

1/7 + 3/7 - 2/7

Solution :

Altogether the above fractions, the denominator is same.

So take the denominator one time and simplify the values in numerator.

1/7 + 3/7 - 2/7  =  (1 + 3 - 2) / 7

1/7 + 3/7 - 2/7  =  2/7

Accession and Minus of Fractions with Contrasting Denominators

If we append or take off two or more fractions with different denominators, we have to follow the steps given infra.

Step 1 :

Find the to the lowest degree common multiple (LCM) of the denominators.

Step 2 :

Mae the result of step 1 (LCM) as denominator for each divide victimisation propagation.

Dance step 3 :

In step 2, all the fractions will bear the same denominator. Now take the denominator once and simplify the values in numerator.

Model :

Find the value of :

1/4 + 5/6 - 3/8

Solution :

Find the least common denary of the denominators.

LCM of (4, 6, 8)  =  24

Make the denominator of apiece divide as 24 using multiplication.

1/4  =  (1⋅ 6) / (4 ⋅ 6)  =  6/24

5/6  =  (5 ⋅ 4) / (6 ⋅ 4)  =  20/24

3/8  =  (3 ⋅ 3) / (8 ⋅ 3)  =  9/24

And so, we have

1/4 + 5/6 - 3/8  =  6/24 + 20/24 + 9/24

1/4 + 5/6 - 3/8  =  (6 + 20 + 9)/24

1/4 + 5/6 - 3/8  =  35/24

Multiply a Divide past a Unanimous Number

To reproduce a proper or wrong fraction past a integer, first, we have to reproduce the uninjured number and numerator of the divide, safekeeping the denominator same.

For example,

2 ⋅  3/5   =  (2 ⋅ 3) /5  =  6/5

3 ⋅   7/11  =  (3 ⋅ 7)/11  = 21/11

Manifold a Fraction by a Fraction

To manifold a square-toed operating room improper fraction by another specific or unlawful fraction, we have to multiply the numerators and denominators.

For example,

2/3 ⋅  4/5   =  8/15

1/3 ⋅   7/11  =  7/33

Divide a Whole Number by a Fraction

To divide a unanimous number by any divide, reproduce the undiversified phone number by the interactional of the fraction.

For instance,

6 ÷ 2/5  =  6 ⋅  5/2

6 ÷ 2/5   =  (6 ⋅ 5) /2

6 ÷ 2/5 = (3 ⋅ 5) /1

6 ÷ 2/5 =  15

Divide a Fraction past a Whole Number

To divide a divide by a uninjured number, we have to multiply the denominator of the fraction by the integer and simplify, if possible.

For example,

2/5 ÷ 6  =  2/(5 ⋅  6)

2/5 ÷ 6  =  1/(5 ⋅  3)

2/5 ÷ 6  =  1/15

Divide a Fraction by a Fraction

To divide a fraction aside another fraction, multiply the first fraction by the reciprocal of the second fraction.

For example,

1/5 ÷ 3/7  =  1/5 ⋅  7/3

1/5 ÷ 3/7  =  (1 ⋅ 7) / (5 ⋅ 3)

1/5 ÷ 3/7  =  7/15

Aft having gone through the stuff given above, we hope that the students would undergo understood, how to do the binary operations with fractions.

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how to evaluate expressions with fractions and whole numbers

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