Question

3/4 plus 4/5 subtract 7/10

Answer 1

Answer 0.85 or 17/20

Answer 2

Hey There! Happy to Help! Your answer is below.

Answer:

17/20 = 0.85000

Step 1:

• Simplify 7/10

⇒ (3/4 + 4/5) - 7/10

Step 2:

• Simplify 4/5

⇒ (3/4 + 4/5) - 7/10

Step 3:

• Simplify 3/4

⇒(3/4 + 4/5) - 7/10

Step 4:

• Calculating the Least Common Multiple

⇒ Find the Least Common Multiple

• The left denominator is : 4

• The right denominator is : 5

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

2 2 0 2

5 0 1 1

Product of all

Prime Factors 4 5 20

Least Common Multiple:

20

• Calculating Multipliers

⇒ Calculate multipliers for the two fractions

⇒ Denote the Least Common Multiple by L.C.M

⇒ Denote the Left Multiplier by Left_M

⇒ Denote the Right Multiplier by Right_M

⇒ Denote the Left Deniminator by L_Deno

⇒ Denote the Right Multiplier by R_Deno

• Left_M = L.C.M / L_Deno = 5
• Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions

⇒ Rewrite the two fractions into equivalent fractions

⇒ Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 3 • 5

----------------------------- = ------------

L.C.M 20

R. Mult. • R. Num. 4 • 4

----------------------------- = -------

L.C.M 20

• Adding fractions that have a common denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3 • 5 + 4 • 4 31

------------------ = ---

20 20

Equation at the end of step 4:

31 7

---- - ----

20 10

Step 5:

• Calculating the Least Common Multiple :

Find the Least Common Multiple

The left denominator is : 20

The right denominator is : 10

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

2 2 1 2

5 1 1 1

Product of all

Prime Factors 20 10 20

Least Common Multiple:

20

Calculating Multipliers :

Calculate multipliers for the two fractions

Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

Denote the Right Multiplier by Right_M

Denote the Left Deniminator by L_Deno

Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 1

Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num. 31

------------------------- = ----

L.C.M 20

R. Mult. • R. Num. 7 • 2

---------------------------- = -----

L.C.M 20

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

31 - (7 • 2) 17'

-------------- = ---

20 20

17

—— = 0.85000

20