5/4 As A Mixed Number

Mixed number calculator

This computer performs basic and advanced operations with mixed numbers, fractions, integers, decimals. Mixed numbers are also called mixed fractions. A mixed number is a whole number and a proper fraction combined, i.e. 1 and iii-quarters. The estimator evaluates the expression or solves the equation with footstep-past-step adding progress information. Solve problems with two or more mixed numbers fractions in ane expression.

The result:

3 2/5 - 3/4 + 5 i/two = 163 / 20 = 8 3 / 20 = 8.15

Spelled result in words is eight and three twentieths (or i hundred 60-three twentieths).

Adding steps

Conversion a mixed number 3 2 / 5 to a improper fraction: 3 ii/5 = 3 2 / 5 = 3 · 5 + ii / 5 = 15 + 2 / 5 = 17 / five
To find a new numerator:
a) Multiply the whole number 3 by the denominator v. Whole number 3 every bit 3 * 5 / 5 = 15 / five
b) Add together the answer from previous pace 15 to the numerator two. New numerator is 15 + 2 = 17
c) Write a previous reply (new numerator 17) over the denominator 5.
Iii and 2 fifths is seventeen fifths
Subtract: 17 / 5 - iii / 4 = 17 · 4 / 5 · 4 - three · 5 / four · 5 = 68 / 20 - 15 / xx = 68 - fifteen / twenty = 53 / 20
It is suitable to arrange both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you tin can calculate as the least common multiple of both denominators - LCM(5, iv) = 20. In practice, information technology is enough to discover the common denominator (not necessarily the everyman) by multiplying the denominators: 5 × iv = 20. In the post-obit intermediate step, information technology cannot further simplify the fraction consequence by canceling.
In other words - seventeen fifths minus three quarters is fifty-iii twentieths.
Conversion a mixed number 5 1 / ii to a improper fraction: 5 1/2 = v 1 / two = 5 · 2 + 1 / ii = x + ane / 2 = 11 / ii
To find a new numerator:
a) Multiply the whole number v past the denominator ii. Whole number 5 as v * 2 / two = 10 / 2
b) Add the reply from previous step 10 to the numerator 1. New numerator is 10 + 1 = xi
c) Write a previous respond (new numerator 11) over the denominator two.
Five and one one-half is xi halfs
Add: the result of pace No. 2 + 11 / 2 = 53 / 20 + 11 / 2 = 53 / 20 + xi · 10 / two · 10 = 53 / twenty + 110 / xx = 53 + 110 / twenty = 163 / 20
Information technology is suitable to suit both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you tin summate as the least common multiple of both denominators - LCM(twenty, ii) = twenty. In do, it is enough to find the common denominator (non necessarily the lowest) by multiplying the denominators: 20 × 2 = 40. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - fifty-three twentieths plus 11 halfs is 1 hundred lx-three twentieths.

What is a mixed number?

A mixed number is an integer and fraction $a \frac{b}{c}$ whose value equals the sum of that integer and fraction. For example, we write two and 4-fifths as $2 \frac{iv}{five}$ . Its value is: $two \frac{iv}{5} = 2 + \frac{4}{v} = \frac{1 0}{5} + \frac{4}{5} = \frac{one four}{5}$ . The mixed number is the exception - the missing operand between a whole number and a fraction is not multiplication but an addition: $2 \frac{4}{5} \neq = 2 \cdot \frac{four}{5}$ . A negative mixed number - the minus sign as well applies to the fractional $- 2 \frac{4}{five} = - (ii \frac{four}{5}) = - (two + \frac{iv}{5}) = - \frac{1 four}{5}$ . A mixed number is sometimes chosen a mixed fraction. Commonly, a mixed number contains a natural number and a proper fraction, and its value is an improper fraction, that is, one where the numerator is greater than the denominator.

How do I imagine a mixed number?

We tin can imagine mixed numbers in the instance of cakes. We take three cakes, and we have divided each into five parts. Nosotros thus obtained 3 * 5 = 15 pieces of cake. One-piece when nosotros eat, there are xiv pieces left, which is $2 \frac{4}{v}$ of cake. When we eat two pieces, $2 \frac{iii}{5}$ of cake remains.

Mixed number in word problems:

For each
For each pair of expressions, circle the greater production without finding the product. (write 1=left expression, two=correct expression) a. 3/4 x 2/three and three/4 x 1/2 b. 2/3 x 3 1/4 and 4/three ten 3 1/4 c. 3/8 x 3/8 and 3/viii ten 1/ii
Comparing weights
Tam baked 4⅔ dozens of cupcakes. Lani broiled 4⅓ dozens of cupcakes. Mabel baked five⅓ dozens of cupcakes. Who broiled the near cupcakes (write first letter: T or L, M)
Carlo 2
Carlo had five/six of pizza and Dannah had 1 5/viii of a like pizza. How much more pizza's did Dannah accept tan Carlo?
Conner
Conner picked eight ane/5 pounds of apples. Louisa picked ix 2/3 pounds of apples. How many apples, more pounds, did Louisa pick than Conner?
Comparison mixed numbers
Which of the following expression will give a sum of seven and 3/10? A. iii and 1/5+ 4 and 2/2 B. three and 1/10+iv and two/10 C. 1/10+ 7 and 2/v D. 2 and 1/ten+ v and 3/ten
A snack
Jim fabricated a snack by combining ⅓ of a bowl of granola with ¼ of a bowl of chopped banana and ½ of a bowl of yogurt. Did one bowl concord all of the ingredients at ane time? Explain your answer.
Sandy
Sandy, John, and Marg baked pies for the Bake Auction. Sandy cutting his pies into 6ths, John cutting his into 8ths, and Marg cut hers into quarters. Sandy sold eleven/6, John sold 1 3/eight pies, and Marg sold 9/iv pies. Who sold the nigh pies? Who sold the fewest?
Evaluate mixed expressions
Which of the following equals 4 and 2 over 3 divided by three and 1 over 2? A. 4 and ii over iii times 3 and two over i B. 14 over 3 times 2 over seven C. 14 over 3 times 7 over 2 D. 42 over three times 2 over 31
Lemonade
During a contest, Karlo drank 1 three/4 liters of lemonade, and Ralph drank 1 ½ liter. Who drank more lemonade, and by how much?
True or false?
Which of the following is true? A. 3 and three ninths plus seven and half-dozen-elevenths equal ten and eighty-seven ninety ninths. B. two and 3-eighths plus 6 and iv-fifths equals eight and twelve fortieth C. three and three sevenths plus four and t
Sayavong
Stephan is making cookies for the form. He has a recipe that calls for 3 and 1/2 cups of flour. He has 7/viii a cup of wheat flour and 2 and 1/two cups white flour. Does Mr. Sayavong have enough flour to make the cookies?