What is 5/8 + 1/4 as a fraction

1 Expert Answer

Andrew M. answered • 01/10/18

Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

To add or subtract fractions you need a common 

denominator ... The number on the bottom.  We 

need the Least Common Denominator (LCD)... the smallest

number that both denominators divide into equally.

our denominators are 4 and 8.

The LCD is 8

So we need to change 1/4 into a fraction

with 8 on the bottom.

(1/4)(2/2) = 2/8

Note that 2/2 = 1 so the actual value

is the same since we multiplied by 1

5/8 - 1/4 = 5/8 - 2/8 = (5-2)/8 = 3/8

Questions?

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 5 by 4, and get 20.

Then we multiply 1 by 8, and get 8.

Next we give both terms new denominators -- 8 × 4 = 32.

So now our fractions look like this:

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

What is 1/4 of 5/8? What is the fractional answer to 1/4 of 5/8? What is the decimal answer to 1/4 of 5/8? Here we will explain what 1/4 of 5/8 means and how to calculate it.

1/4 of 5/8 is the same as asking: If you take 1/4 of 5/8, what do you get? Furthermore, 1/4 is 25 percent. Therefore, we are basically solving 25 percent of 5/8 when we are solving 1/4 of 5/8.

To solve the problem, we start by labeling 1/4 of 5/8 like this:

N1/D1 of N2/D2

Then we use this fraction of a fraction formula to solve the problem:

(N1 x N2) / (D1 x D2)

When we enter 1/4 of 5/8 into the formula, we get:

(1 x 5) / (4 x 8) = 5/32

Therefore, the answer to 1/4 of 5/8 in its lowest form is:

1/4 of 5/8 = 5/32

The answer above is 1/4 of 5/8 in fraction form. Below we have converted the answer to decimal form for you:

1/4 of 5/8 = 0.15625

Hint: If you need to figure out a Fraction of Fraction problem like 1/4 of 5/8 in the future, remember that you get the answer by multiplying the numerator together and the denominators together. This is the same as multiplying the fractions together.

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5/8 + 1/4 is 7/8.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 8 and 4 is 8

   Next, find the equivalent fraction of both fractional numbers with denominator 8

2. For the 1st fraction, since 8 × 1 = 8,
   5/8 = 5 × 1/8 × 1 = 5/8
3. Likewise, for the 2nd fraction, since 4 × 2 = 8,
   1/4 = 1 × 2/4 × 2 = 2/8
4. Add the two like fractions:
   5/8 + 2/8 = 5 + 2/8 = 7/8
5. So, 5/8 + 1/4 = 7/8

MathStep (Works offline)

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