Step: 1

[Given.]

Step: 2

As the denominators are multiples of 10, multiply both the numerator and denominator of the fraction 6 10 by 10.

Step: 3

⇒ 6 10 × 10 10 = 60 100

[Multiply.]

Step: 4

Now, solve 6 10 + 6 100 .

Step: 5

= 60 100 + 6 100

[From step 3.]

Step: 6

= 66 100

[Add the numerators.]

Step: 7

Therefore, '60 100 ' is the equivalent fraction of 6 10 and '66 100 ' is the sum of 6 10 + 6 100 .

Correct Answer is : 60 100 ; 66 100

Step: 1

Length of ribbon Steve has = 3 10 inches

Length of ribbon Mark has =87 100 inches

Length of ribbon Mark has =

Step: 2

Adding the lengths of both the ribbons

3 10 + 87 100

Step: 3

Since denominators are different and as they are multiples of 10, we use 3 10 = 30 100

Therefore30 100 + 87 100 = 117 100

Therefore

Correct Answer is : 117 100 inches

Step: 1

Miles walked by Evelyn yesterday = 3 10

Miles walked by Evelyn today =3 10

Miles walked by Evelyn today =

Step: 2

Total miles walked by Evelyn in 2 days = 3 10 + 31 100

Step: 3

We observe that the denominators of the fractions are not equal, but are multiples of 10.

So we multiply3 10 with 10, both numerator and denominator so as to make the denominators same/ alike

So we multiply

Step: 4

Numerator 3 × 10 = 30 and Denominator 10 × 10 = 100

Step: 5

Thus 3 10 = 30 100

Step: 6

Now adding by substituting equivalent fractional relationship 3 10 = 30 100

3 100 + 31 100 = 30 100 + 31 100 = 61 100

Correct Answer is : 61 100

Step: 1

Gallons of paint already with Dennis = 9 1 0

Gallons of paint bought by Dennis =8 5 1 0 0

Gallons of paint bought by Dennis =

Step: 2

Adding 9 1 0 + 8 5 1 0 0 ,

We observe that the denominators of the fractions are not equal, but are multiples of 10.

So we multiply9 1 0 with 10, both numerator and denominator so as to make the denominators same/alike.

We observe that the denominators of the fractions are not equal, but are multiples of 10.

So we multiply

Step: 3

Thus, an equivalent fraction of 9 1 0 is 9 0 1 0 0

[Multiply both the numerator and denominator of9 1 0 with 10]

Step: 4

Adding 8 5 1 0 0 and 9 1 0 ,
9 1 0 + 8 5 1 0 0 = 9 0 1 0 0 + 8 5 1 0 0

[Use an equivalent fraction of 9 1 0 = 9 0 1 0 0 ]

Step: 5

we get 9 0 1 0 0 + 8 5 1 0 0 = 1 7 5 1 0 0

[Add numerators as denominators are same]

Correct Answer is : 1 7 5 1 0 0

Step: 1

The number of blue pens out of ten pens = 8 1 0

Step: 2

The number of blue pens out of hundred pens = 7 8 1 0 0

Step: 3

Adding 8 1 0 + 7 8 1 0 0 ,

We observe that the denominators of the fractions are not equal, but are multiples of 10. So we multiply8 1 0 with 10, both numerator and denominator so as to make the denominators same/alike.

We observe that the denominators of the fractions are not equal, but are multiples of 10. So we multiply

Step: 4

Thus, an equivalent fraction of 8 1 0 is 8 0 1 0 0 .

[Multiply both the numerator and denominator of 8 1 0 with 10]

Step: 5

Adding 7 8 1 0 0 and 8 1 0 ,

8 1 0 + 7 8 1 0 0 =8 0 1 0 0 + 7 8 1 0 0

[Use an equivalent fraction of 8 1 0 = 8 0 1 0 0 ]

Step: 6

We get 8 0 1 0 0 + 7 8 1 0 0 = 1 5 8 1 0 0

[Add numerators as denominators are same]

Correct Answer is : 1 5 8 1 0 0 blue color pens

Step: 1

We see that the denominators are not same and that the denominators are multiples of 10.

Step: 2

Take the highest denominator i.e. 100, and consider the lowest denominator 10

Step: 3

So, an equivalent fraction of 6 9 1 0 is 6 9 0 1 0 0

[Multiply both the numerator and denominator of 6 9 1 0 ]

Step: 4

Adding 6 9 1 0 and 3 3 1 0 0 , 6 9 1 0 + 3 3 1 0 0 = 6 9 0 1 0 0 + 3 3 1 0 0

[Use an equivalent fraction of 6 9 1 0 = 6 9 0 1 0 0 ].

Step: 5

we get, 6 9 0 1 0 0 + 3 3 1 0 0 = 7 2 3 1 0 0

[Add numerator as denominator are same]

Correct Answer is : 6 9 0 1 0 0 , 7 2 3 1 0 0

Step: 1

Adding the option 1 1 1 0 + 1 8 1 0 = 2 9 1 0

[Add numerators as denominators are same]

Step: 2

Adding the option 1 9 1 0 + 1 1 1 0 = 3 0 1 0

[Add numerators as denominators are same]

Step: 3

Adding the option 1 9 1 0 + 8 1 0 = 2 7 1 0

[Add numerators as denominators are same]

Step: 4

Adding the option 1 1 1 0 + 9 1 0 0 = 1 1 0 1 0 0 + 9 1 0 0

[Use an equivalent fraction of 11 10 = 110 100 .]

Step: 5

we get 1 1 0 1 0 0 + 9 1 0 0 = 1 1 9 1 0 0

[Add numerators as denominators are same]

Correct Answer is : 1 1 1 0 + 9 1 0 0

Step: 1

The given fractions are 2 1 0 and 1 1 1 0 0 .

Step: 2

Here the denominators are 10 and 100. These denominators are different.

Step: 3

Before adding and subtracting fractions, the fractions should have equal denominators.

Step: 4

Take the LCD of the denominators 10 and 100. The LCD is 100.

Step: 5

: Now multiply both the numerators and denominators of the fractions 2 1 0 by 10 and 1 1 1 0 0 by 1 to make the common denominator.

Step: 6

Step: 7

Step: 8

Now adding the two fractions 2 0 1 0 0 and 1 1 1 0 0

2 0 1 0 0 + 1 1 1 0 0 .

Step: 9

Here denominators are common. So add the numerators directly.

Step: 10

Correct Answer is : 2 0 1 0 0 and 3 1 1 0 0

Step: 1

The given fractions are 9 1 0 and 9 0 1 0 0 .

Step: 2

Here the denominators are 10 and 100. These denominators are different.

Step: 3

Before adding and subtracting fractions, the fractions should have equal denominators.

Step: 4

Take the LCD of the denominators 10 and 100. The LCD is 100.

Step: 5

Now multiply both the numerators and denominators of the fractions 9 1 0 by 10 and 9 0 1 0 0 by 1 to make the common denominator.

Step: 6

Step: 7

Step: 8

Now adding the two fractions 9 0 1 0 0 and 9 0 1 0 0

9 0 1 0 0 + 9 0 1 0 0 .

Step: 9

Here denominators are common. So add the numerators directly.

Step: 10

Correct Answer is : 9 0 1 0 0 and 1 8 0 1 0 0

Step: 1

Given that 8 1 0 = ? 1 0 0 . Here we must find the unknown numerator to get the equivalent fraction for 8 1 0 .

Step: 2

As the denominators are multiples of 10, multiply both numerator and denominator of the fraction 8 1 0 by 10 to get the equivalent fraction for 8 1 0 .

Step: 3

Step: 4

: Here the equivalent fraction for 8 1 0 is 8 0 1 0 0 . So, the unknown numerator is 80.

Step: 5

Now we need to add the fractions 8 1 0 and 8 1 0 0

8 1 0 + 8 1 0 0 = 8 0 1 0 0 + 8 1 0 0

[8 0 1 0 0 is equivalent to 8 1 0 from step 3.]

Step: 6

Here, the denominators are common. So add the numerators directly.

Step: 7

Correct Answer is : 8 0 1 0 0 and 8 8 1 0 0

Step: 1

Given that 3 3 1 0 = ? 1 0 0 . Here we must find the unknown numerator to get the equivalent fraction for 3 3 1 0 .

Step: 2

As the denominators are multiples of 10, multiply both numerator and denominator of the fraction 3 3 1 0 by 10 to get the equivalent fraction for 3 3 1 0 .

Step: 3

Step: 4

Here the equivalent fraction for 3 3 1 0 is 3 3 0 1 0 0 . So, the unknown numerator is 330.

Step: 5

Now we need to add the fractions 3 3 1 0 and 6 9 1 0 0

3 3 1 0 + 6 9 1 0 0 = 3 3 0 1 0 0 + 6 9 1 0 0

[3 3 0 1 0 0 is equivalent to 3 3 1 0 from step 3.]

Step: 6

Here, the denominators are common. So add the numerators directly.

Step: 7

Correct Answer is : 3 3 0 1 0 0 and 3 9 9 1 0 0

Step: 1

Given that 9 9 1 0 = ? 1 0 0 . Here we must find the unknown numerator to get the equivalent fraction for 9 9 1 0 .

Step: 2

As the denominators are multiples of 10, multiply both numerator and denominator of the fraction 9 9 1 0 by 10 to get the equivalent fraction for 9 9 1 0 .

Step: 3

Step: 4

Here the equivalent fraction for 9 9 1 0 is 9 9 0 1 0 0 . So, the unknown numerator is 990.

Step: 5

Now we need to add the fractions 9 9 1 0 and 1 0 1 0 0

9 9 1 0 + 1 0 1 0 0 = 9 9 0 1 0 0 + 1 0 1 0 0

[9 9 0 1 0 0 is equivalent to 9 9 1 0 from step 3.]

Step: 6

Here, the denominators are common. So add the numerators directly.

Step: 7

Correct Answer is : 9 9 0 1 0 0 and 1 0 0 0 1 0 0

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